## Full list of publications by Heydar Radjavi

List of Publications by Heydar Radjavi

**(i) PAPERS:**

• Ranges of vector states on irreducible operator semigroups (with L. Marcoux, M. Omladic, A. Popov, and B. Yahaghi), Semigroup Forum 93 (2016), 264–304.

• On selfadjoint extensions of semigroups of partial isometries (with J. Bernik, L. Marcoux, and A. Popov), Trans. Amer. Math. Soc. 368 (2016), 7681–7702.

• Near-invariant subspaces for matrix groups are nearly invariant (with M. Mastnak and M. Omladic), Linear Alg. Appa. 505 (2016), 269–281.

• Universal bounds for positive matrix semigroups (with L. Livshits and G. MacDonald), Studia Math. 232 (2016),143-153.

• Invariant and almost-invariant subspaces for pairs of idempotents (with J. Bernik), Integral Eqartions Operator Theory 84 (2016), 283-288.

• Nilpotent commutators with a masa (with M. Mastnak and M. Omladic), J. Operator Theory 74 (2015), 371-389.

• A theorem of Kaplansky revisited (with B. Yahaghi), Lin. Alg. Appl. 487

(2015), 268-275.

• A simultaneous Wielandt positivity theorem (with G. MacDonald), Positivity 19 (2015), 149-160.

• A spatial version of Wedderburn’s principal theorem (with

L. Livshits, G. MacDonald, and L. W. Marcoux), Lin. Multilin.

Alg. 63 (2015), 1216-1241.

• Commutators of small rank and reducibility of operator semigroups

(with A. Jafarian, A. Popov, and M. Radjabalipour), Proc. Amer. Mat.

Soc. 142 (2014), 4277-4289.

• Semigroups of partial isometries (with A. Popov), Semigroup

Forum 87 (2013), 663-678. (See also Erratum, Semigroup Forum 87

(2013), 679-680).

• Paratransitive algebras of linear operators II (with L. Livshits,

G. MacDonald, and L.W. Marcoux), Lin. Alg. Appl. 439 (2013),

1974-1989.

• Paratransitive algebras of linear operators (with L. Livshits, G.

MacDonald, and L.W. Marcoux), Lin. Alg. Appl. 439 (2013),

1955-1973.

• Multiplicative maps that are close to an automorphism on

algebras of linear transformations (with L.W. Marcoux and A.

Sourour), Studia Math. 214 (2013), 279-296.

• On semigroups of nonnegative functions and positive operators

(with R. Drnovsek), J. Math. Anal. Appl. 404 (2013), 29-35.

• On almost invariant subspaces and approximate commutation (with

L.W. Marcoux and A. Popov), J. Func. Anal. 264 (2013), 1088-1111.

• On irreducible algebras spanned by triangularizable matrices (with

B.Yahaghia), Lin. Alg. Appl.436 (2012), 2001-2007.

• Finite groups with submultiplicative spectra (with L. Grunenfelder,

T. Kosir, and M. Omladic), J. Pure & Appl. Alg. 216 (2012) 1196-1206.

• Self-adjoint semigroups with nilpotent commutators (with M.

Omladic), Lin. Alg. Appl. 436 (2012), 2597-2603.

• Spectral conditions and band reducibility of operators (with J. Bernik

and L.W. Marcoux), J. London Math Soc.(2) 86 (2012), 214-234.

• Positive matrix semigroups with binary diagonals (with L. Livshits and

G. MacDonald), Positivity 15 (2011), 411-440.

• Multiplicative diagonals of matrix semigroups (with L. Livshits and

G. MacDonald), Electron. J. Lin. Alg. 22 (2011), 252-266.

• Universal bounds on matrix semigroups (with L. Livshits and

G. MacDonald), Studia Math. 203 (2011), 69-77.

• Nonnegative matrix semigroups with finite diagonals (with A. Popov

and P. Williamson), Lin. Alg. Appl. 434 (2011), 1409-1424.

• On semitransitive Jordan algebras of matrices (with J Bernik,

R. Drnovsek, D. Kokol Bukovsek, T. Koshir, and M. Omladic),

J. Alg. Appl. 10 (2011), 319-333.

• Positivity and matrix semigroups (with J. Bernik and M. Mastnak),

Lin. Alg. Appl. 434 (2011), 801-812.

• Bounded indecomposable semigroups of nonnegative matrices (with

H. Gessesse, A. Popov, E. Spinu, A. Tcaciuc, and V. Troitsky),

Positivity 14 (2010), 383-394.

• Paul Halmos and invariant subspaces, a glimpse at Hilbert space

operators (with P. Rosenthal), Oper. Theory Adv. Appl. 207

Birkhäuser Verlag, Basel, 2010, 341–349

• Nil polynomials and reducibility of operator semigroups, J. Operator

Theory 64 (2010), 245-264.

• Stochastic operators and extreme points (with D. Hadwin and

E. Nordgren), Oper. Matrices 3 (2009), 227-233.

• Invariant sublattices (with V. Troitsky), Illinois J. Math. 52

(2009), 463-472.

• Nilpotent commutators and reducibility of semigroups (with M.

Omladic), Lin. & Multilin. Alg. 57 (2009), 307-317.

• Semitransitive spaces of operators (with V.G. Troitsky), Lin.

Multilin. Alg. 57 (2009), 1-11.

• Triangularizability of operators with increasing spectrum (with L.W.

Marcoux and M. Mastnak), J. Funct. Anal. 257 (2009), 3517-3540.

• Spectral conditions on Lie and Jordan algebras of compact operators

(with M. Kennedy), J. Funct. Anal. 256 (2009), 3143-3157.

• Structure of finite, minimal nonabelian groups and triangulaization

(with M. Mastnak), Lin Alg Appl. 430 (2009), 1838-1848.

• Realizing irreducible semigroups and real algebras of compact

operators (with J. Bernik and M. Mastnak), J. Math. Anal. Appl.

348 (2008) 692-707.

• Transitive spaces of operators (with K. Davidson and L. Marcoux),

Intg. Eq. & Oper. Theory 61 (2008), 187-210.

• Sesquitransitive and localizing operator algebras (with V. Lomonosov

and V. Troitsky), Integ. Eq. & Oper.Theory 60 (2008), 405-418.

• Linear maps preserving quasicommutativity (with P. Semrl), Studia

Math. 184 (2008), 191-204.

• On the topological stable rank of non-selfadjoint operator algebras

(with K. Davidson, R. Levene, and L. Marcoux), Math. Ann. 341

(2008), 239-253.

• A Kadison transitivity theorem for C*-semigroups (with L. Livshits,

G. MacDonald, and L. Marcoux), J. Funct. Anal. 254 (2008), 246-266.

• Limitations on the size of semigroups of matrices (with P. Rosenthal),

Semigroup Forum 76 (2008), 25-31.

• Approximate permutability of traces on semigroups of matrices

with J. Bernik, R. Drnovsek, T. Kosir, Leo Livshits, M. Mastnak, and

M. Omladic), Oper. Matrices 4 (2007), 455-467.

• Topologically transitive matrix semigroups (with L. Livshits and

G. MacDonald), Oper. Matrices 1 (2007), 165-179.

• The semigroup generated by the unitary orbit of a singular matrix

(with A. R. Sourour), Lin & Multilin. Alg. 55 (2007), 417-428.

• On submultiplicativity of spectral radius and transitivity of

semigroups (with P. Rosenthal), Proc.Amer. Math. Soc. 135

(2007), 163-168.

• An approximate, multivariable version of Specht's theorem

(with L. W. Marcoux and M. Mastnak), Lin. Multilin. Alg.

55 (2007), 159-174.

• On the diameters of commuting graphs (with S. Akbari, A.

Mohammadian, and P. Raja), Linear Alg. Appl. 418 (2006), 161-176.

• A function arising in the estimatation of Unobserved Probability

(with C.C.A. Sastri), Statist. Probab. Lett. 76 (2006), 682-688.

• Transitive actions of Lie algebras (with L. grunenfelder and

M. Omladic), J. Pue Appl.Alg. 199 (2005), 87-93.

• Polynomial conditions on operator semigroups, J. Operator Theory

53 (2005), 197-220.

• How small can nonzero commutators be? (with J. Bernik),

Indiana Univ. Math. J. 54 (2005), 309-320.

• On semitransitive collections of operators (with J. Bernik,

L. Grunenfelder, M. Mastnak, and V. Troitsky), Semigroup Forum

70 (2005), 436-450.

• Common fixed points and common eigenvectors for sets of matrices

(with J. Bernik, R. Drnovsek, T. Kosir, T. Laffey, G. MacDonald, R.

Meshulam, and M. Omladic), Lin. Multilin. Alg. 53 (2005), 137-146.

• Standard Triangularization of semigroups of nonnegative operators

(with G. MacDonald), J. Funct. Anal. 219 (2005), 161-176.

• Non-linear maps preserving solvability (with P. Semrl), J. Algebra

280 (2004), 624-634.

• On Rings of Matrices Over Division Rings (with M. Radjabalipour),

Lin. Multilin. Alg. 52 (2004), 375-380.

• Matrix Semigroups with Commutable Rank (with L. Livshits,

G. MacDonald, B. Mathes, and J. Okninski), Semigroup Forum

67 (2003), 288-316

• Trace-preserving homomorphisms of semigroups (with M. Hladnik

and M. Omladic), J. Funct. Analysis 204 (2003), 269-292.

• Irreducible semigroups of matrices with eigenvalue one (with J.

Bernik, R. Drnovsek, T. Kosir, and M. Omladic), Semigroup Forum

67 (2003), 271-287.

• A short proof of Hua's fundamental theorem of the geometry of

hermitian matrices (with P. Semrl), Expositiones Math. 21 (2003),

83-93.

• A perturbation characterization of compactness of self-adjoint

operators (with P. K. Tam and K.K. Tan), Studia Math. 158 (2003),

199-205.

• Mean ergodicity for compact operators (with P.K. Tam and K.K. Tan),

Studia math. 158 (2003), 207-217.

• Operator semigroups for which reducibility implies decomposibility

(with L. Livshits, G. MacDonald. and B. Mathes), Positivity

7 (2003), 195-202.

• Inference for annotated logics over distributive lattices (with J. L.

Lu, N. V. Murray, E. Rosenthal, and P. Rosenthal), Proceedings of the

13th International Symposium on Methodologies for Intelligent

Systems, Springer Lecture notes, ISMIS 2002: 285-293.

• On commutators of idempotents (with P. Rosenthal), Lin. Multilin.

Alg 50 (2002), 121-124.

• Maximal Jordan algebras of matrices with bounded number of

eigenvalues (with L. Grunenfelder, T. Kosir, and M. Omladic), Is. J.

Math. 128 (2002), 53-75.

• Intersections of nest algebras in finite dimensions (with

P. A. Fillmore, W.E. Longstaff, G. W. MacDonald, and Y. Zhong),

Lin. Alg. Appl. 350 (2002), 185-197.

• A characterization of commutators of idempotents (with R.

Drnovsek and P. Rosenthal), Lin. Alg. Appl. 347 (2002), 91-99.

• On compactness of the best approximant set (with H. Mohebi),

J. Nat. Geom. 21 (2002), 51-62.

• An irreducible semigroup of nonnegative squar-zero operators

(with R. Drnovsek, D. Kokol-Bukovsek, L. Livshits. G. MacDonald,

and M. Omladic), Integr.Equ. Oper. theory 42 (2002), 440-460.

• Inequalities for products of spectral radii (with M. Omladic,

P. Rosenthal, and A. Sourour), Proc. Amer. Math. Soc. 129 (2001),

2239-2243.

• Products of roots of the identity (with M. Hladnik and M. Omladic),

Proc. Amer. Math. Soc. 129 (2001), 459-465.

• Semigroups generated by similarity orbits (with L. Grunenfelder,

M. Omladic, and A. Sourour), Semigroup Forum 62 (2001), 460-472.

• On band algebras (with L. Livshits, G. MacDonald, and B.Mathes), J.

Operator Theory, J. Operator Theory 46 (2001), 545-560.

• Preserving commutativity (with M. Omladic and P. Semrl),

J. Pure & Appl. Alg. 156 (2001), 309-328.

• Operator semigroups with quasinilpotent commutators (with

P. Rosenthal and V. Shulman), proc. Amer. Math. Soc. 128

(2000), 2413-2420.

• Cone-transitive matrix semigroups (with L. Livshits and G.

MacDonald), Lin. & Multilin. Alg. 47 (2000), 313-350.

• On operator bands (with R. Drnovsek, L. Livshits, G. MacDonald,

B. Mathes, and P. Semrl), Studia Math. 139 (2000), 91-100.

• On transitive linear semigroups (with R. Drnovsek, L. Livshits,

G. MacDonald, B. Mathes, and P. Semrl), Lin. Alg. & Appl. 305

(2000), 67-86.

• Sublinearity and other spectral conditions on a semigroup, Canad. J.

Math. 5 (2000), 197-224.

• Mean ergodic theorems for affine operators (with P. K. Tam and K. K.

Tan), Math. Comput. modeling 32 (2000), 1417-1421.

• Homomorphisms from C* into GLn(C) (with M. Omladic and P. Semrl),

Pub. Math. Debrecen 55 (1999), 479-486.

• On the oprator equation AX = XAX (with J. Holbrook, E. Nordgren.

and P. Rosenthal), Lin. Alg. &Appl. 295 (1999), 113-116.

• The Perron-Frobenius Theorem revisited, Positivity 3 (1999), 317-331.

• A finiteness lemma, Brauer's Theorem and other irreducibility

results (with M. Radjabalipour), Communications in Algebra 27(1)

(1999), 301-319.

• Principal-ideal bands (with P. Fillmore, G. MacDonald, and M.

Radjabalipour), Semigroup Forum 59 (1999), 362-373.

• Idempotent completions of partial operator matrices (with J. Hou

and P. Rosenthal), Acta Math. Sinica (English Series) 15 (1999),

333-346.

• On groups generated by elements of prime order (with

L. Grunenfelder, T. Koshir, and M. Omladic), Geometriae Dedicata

75 (1999), 317-332.

• Invariant subspaces for semigroups of algebraic operators (with

G. Cigler, R. Drnovsek, D. Kokol-Bukavsek, T. Laffey, M. Omladic,

and P. Rosenthal), J. Functional Analysis 160 (1998), 452-465.

• Boundedness stability properties of linear and affine operators (with

M. Edelstein and K. K. Tan), Taiwanese J. Math.2 (1998), 111-125.

• Reducible semigroups of idempotent operators (with L. Livshits, G.

MacDonald, and B. Mathes), J. Operator Theory, 40 (1998), 35-69.

• From local to global triangularization (with P. Rosenthal), J.

Functional Analysis 147 (1997), 443-456.

• Maximal semigroups dominated by 01 matrices (with T. Kosir and

M. Omladic), Semigroup Forum 54 (1997), 125-189.

• Permutability of characters on algebras (with L. Grnenfelder,

R. Guralnick and T. Kosir), Pacific J. Math. 178 (1997), 63-70.

• Invariant subspaces and spectral conditions on operator semigroups,

Polish Acad. Sciences, Banach Center Publications, Polish Academy

of Sciences, 38 (1997), 287-296.

• Irreducible semigroups with multiplicative spectral radius (with

M. Omladic), Linear Alg. Appl.251 (1997), 59-72.

• Local polynomials are polynomials (with C.K. Fong, G. Lumer,

E. Nordgren, and P. Rosenthal), Studia Math. 115 (1995), 105-107.

• On permutability and submultiplicativity of spectral radius (with

W. Longstaff), Canadian J. Math. 47 (1995), 1007-1022.

• Simultaneous triangularizability, near-commutativity, and

Rota's theorem (with A.A. Jafarian, P. Rosenthal, and A.R. Sourour),

Trans. Amer. Math. Soc. 347 (1995), 2191-2199.

• Local multiplications on algebras spanned by idempotents (with

D. Hadwin, A. Jafarian, C. Laurie, E. Nordgren, and P. Rosenthal),

Linear and Multilin. Alg. 37 (1994), 259-263.

• Toward a classification of maximal unicellular bands (with

P. Fillmore, G. MacDonald, and M. Radjabalipour), Semigroup

Forum 49 (1994), 195-215.

• On semigroups of matrices with traces in a subfield (with

M. Omladic and M. Radjabalipour), Linear Alg. & Appl.

208-209 (1994), 419-424.

• On sums of idempotents (with C. Laurie and B. Mathes), Linear

Alg. & Appl. 208/209(1994), 175-197.

• Approximation by products of positive operators (with C. Laurie, M.

Khalkhali, and B. Mathes), J. Oper. Theory 29 (1993), 237-247.

• Jordan analogs of the Burnside and Jacobson Theorems (with L.

Grnenfelder and M. Omladic), Pac. J. Math. 161 (1993), 335-346.

• Triangularizing semigroups of operators with non-negative entries

(with M.D. Choi, E. Nordgren, P. Rosenthal, and Y. Zhong), Indiana

Univ. Math J. 42 (1993), 15-25

• Spectral conditions and reducibility of operator semigroups (with M.

Lambrou and W. Longstaff), Indiana Univ. Math. J. 41 (1992) 449-464.

• On simultaneous triangularization of collections of operators (with

D. Hadwin, E. Nordgren, M. Radjabalipour, and P. Rosenthal),

Houston J. Math. 17(1991), 581-602.

• Linear spaces of nilpotent matrices (with B. Mathes and M. Omladic),

J. Lin. Alg. & Appl. 149 (1990), 215-225.

• On reducibility of semigroups of compact operators, Indiana

University Math. J. 39 (1990), 499-515.

• On complementary matrix algebras (with M.D. Choi and P.

Rosenthal), Integral Equations & Operator Theory 13 (1990), 165-174.

• Simultaneous triangularization of operators on a Banach space

(with A. Katavolos), J. London Math. Soc. (2) 41 (1990), 547-554.

• Weak resolvents of linear operators II (with C.K. Fong, E. Nordgren

and P. Rosenthal), Indiana University Math. J.39 (1990), 67-83.

• On the equation AB = BX in collections of matrices (with W.E.

Longstaff), Linear & Multilinear Alg., 25 (1989), 173-184 (with W.E.

Longstaff).

• A similarity invariant (with C.K. Fong, E. Nordgren, and P. Rosenthal),

Proc. Sympos. Pure Math. 51, Part 2, Amer. Math. Soc. (1990), 99-101.

• Weak resolvents of linear operators (with E. Nordgren and P.

Rosenthal), Indiana University Math. J. 36 (1987), 913-934.

• The Engel-Jacobson theorem revisited, J. Algebra 111 (1987), 427-430.

• On the congruence numerical range and related functions of matrices

(with M.D. Choi, C. Laurie, and P. Rosenthal), Lin. Multilin.Alg. 22

(1987), 1-5.

• Quadratic operators and invariant subspaces (with E. Nordgren

and P. Rosenthal), Studia Math. 88 (1988), 263-268.

• Norms for matrices and operators (with C.K. Fong and P. Rosenthal),

J. Operator Theory 18 (1987), 99-113.

• Operators with commutative commatants (with M. Radjabalipour),

Michigan Math. J. 35 (1988), 127-131.

• Linear maps preserving commutativity (with M.D. Choi and

A.A. Jafarian), J. Linear Alg. Appl. 87 (1987), 227-241.

• Orbit-reflexive operators (with D. Hadwin, E. Nordgren and

P. Rosenthal), J. London Math. Soc. (2) 34 (1986), 111-119.

• A nil algebra of bounded operators on Hilbert space with semisimple

norm closure (with D. Hadwin, E. Nordgren, M. Radjabalipour and P.

Rosenthal), Integral Equations & Operator Theory 9 (1986), 239-243.

• A trace condition equivalent to simultaneous triangularizability,

Canadian J. Math. 38 (1986), 376-386. MR 87f: 47058.

• Density and transitivity results on l^infinity and l^1 (under the

acronym "R.B. Honor" with J. Borwein, D. Hadwin, E. Nordgren,

R. O'Brien, M. Orhon and P. Rosenthal), J. London Math. Soc. 32

(1985), 521-527.

• On matrix spaces with zero determinant (with P. Fillmore and

C. Laurie), Linear & Multilinear Alg. 18 (1985), 341-352.

• On the reduction and triangularization of semigroup of operators,

J. Operator Theory 13 (1985), 63-71.

• On fixed points of semigroups of linear contractions (with P.

Rosenthal), Proc. Amer. Math. Soc. 93 (1985), 640-642.

• On positive maps preserving invertibility (with M.D. Choi,

D. Hadwin, E. Nordgren and P. Rosenthal), J. Functional Analysis

59 (1984), 462-469.

• Commutativity-preserving operators on symmetric matrices,

J. Linear Alg. & Appl. 61 (1984), 219-224.

• On a commutator theorem of R.C. Thompson (with L. Grunenfelder

and R. Pare), J. Linear & Multilinear Alg. 16 (1984), 129-131.

• On positive maps preserving invertibility (with M.D. Choi,

D. Hadwin, E. Nordgren and P. Rosenthal), J. Functional Analysis

59 (1984), 462-469.

• Commutativity-preserving operators on symmetric matrices,

J. Linear Alg. & Appl. 61 (1984), 219-224.

• On a commutator theorem of R.C. Thompson (with L. Grunenfelder

and R. Pare), J. Linear & Multilinear Alg. 16 (1984), 129-131.

• Triangularizing semigroups of compact operators (with E. Nordgren

and P. Rosenthal), Indiana Univ. Math. J. 33 (1984), 271-275.

• On minimal invariant manifolds and density of operator algebras,

Acta. Scient. Math. (Szeged) 47 (1984), 113-115.

• Associative and Lie subalgebras of finite codimension (with

G.J. Murphy), Studia Math. 76(1983), 81-85.

• On ideals and Lie ideals of compact operators (with C.K. Fong), Math

Annalen 262 (1983), 23-28.

• The invariant subspace problem (with P. Rosenthal), Math.

Intelligencer 4 (1982), 33-37.

• On triangularization of algebras of operators (with C. Laurie, E.

Nordgren and P. Rosenthal), J. Raine Angus Math. 327(1981), 143-155.

• Proof of Balantine's conjecture on simplic cosquares, J. Linear &

Multilinear Algebra 9(1980), 193-194.

• The group generated by involutions, Proc. Royal Irish Acad. 81A

(1981), 9-12.

• On commutators and invariant subspaces (with M.D. Choi and

C. Laurie), J. Linear and Multilinear Alg. 9 (1981), 329-340.

• An operator not satisfying Lomonosov's hypothesis (with D. Hadwin,

E. Nordgren and P. Rosenthal), J. Functional Analysis 38 (1980), 410-41.

• Extensions of Lomonosov's invariant subspace theorem (with

C.K. Fong, E. Nordgren, M. Radjabalipour and P. Rosenthal), Acta

Scient. Math. (Szeged) 41 (1979), 55-62.

• On the West decomposition of Riesz operators (with C. Laurie), Bull.

London Math. Soc.12 (1980), 130-132.

• How general is Lomonosov's invariant subspace theorem?

(with P. Rosenthal) Math. Reports of the Acad. Sci. , Royal

Society of Canada 1 (1979),29-31.

• On density of algebras with minimal invariant operator ranges,

Proc. Amer. Math. Soc. 68 (1978), 189-192.

• Most similarity orbits are strongly dense (with D. Hadwin, E.

Nordgren and P. Rosenthal), Proc. Amer. Math. Soc. 76 (1979), 250-252.

• Compact operator ranges and transitive algebras (with M.

Radjabalipour), J. London Math. Soc. (2), 17 (1978), 522-524.

• Compact operator ranges and reductive algebras (with A.A. Jafarian),

Act. Scient. Math. (Szeged) 40 (1978), 73-79.

• On invariant operator ranges (with E. Nordgren, M. Radjabalipour

and P. Rosenthal), Trans. Amer.Math. Soc. 25 (1979), 379-398.

• Reductive algebras with minimal ideals, Math. Annalen 219 (1976),

227-231.

• On invariant subspaces of compact perturbation of operators

(with M. Radjabalipour), Rev. Roum. Math. Pures Appl. 21 (1976),

1247-1260.

• A geometric equivalent of the invariant subspace problem (with E.

Nordgren and P. Rosenthal), Proc. Amer. Math. Soc. 61 (1976), 66-68.

• Operator algebras leaving compact operator ranges invariant (with

E. Nordgren and P. Rosenthal), Mich. Math. J. 23 (1976), 375-377.

• On chromatic numbers of infinite graphs (with M. Behzad),

J. Combin. Theory, Ser.B. 21(1976), 195-200.

• On Arveson's characterization of hyperreducible triangular algebras

(with E. Nordgren and P. Rosenthal), Indiana Univ. Math. J. 26 (1977),

179-182.

• Algebras intertwining compact operators (with E. Nordgren,

M. Radjabalipour and P. Rosenthal), Acta Scient. Math. (Szeged)

39(1977), 115-119.

• On the geometry of numerical ranges (with M. Radjabalipour), Pac. J.

Math. 61 (1975), 507-511.

• Decomposition of matrices into simple involutions, Linear Algebra

and Appl. 12 (1975), 247-255.

• On decomposability of compact perturbations of normal operators

(with M. Radjabalipour), Can. J. Math. 27 (1975), 725-735.

• Products of Involutions (with W. Gustafson and P.R. Halmos), Linear

Algebra and Appl. 13( 1976), 157-162.

• Non-self-adjoint representations of C*-algebras, Proc. Amer. Math.

Soc. 47(1975), 133-136.

• Isomorphisms of transitive operator algebras, Duke Math. J. 41

(1974), 555-564.

• On operators with reducing invariant subspaces (with E. Nordgren

and P. Rosenthal), Amer. J. Math. 97 (1975), 559-570.

• On transitive and reductive operator algebras (with P. Rosenthal),

Math. Ann. 209 (1974), 43-56.

• Invariant subspaces for products of Hermitian operators (with

P. Rosenthal), Proc. Amer. Math. Soc. 43 (1974), 483-484.

• Graphs with isomorphic subgraphs (with P. Rosenthal), J. London

Math. Soc., (2), 6 (1972), 70-72.

• A sufficient condition that an operator algebra be self-adjoint (with

P. Rosenthal), Can. J. Math. 23 (1971), 588-597.

• On roots of normal operators (with P. Rosenthal), J. Math. Analysis

and Appl. 34 (1971), 653-664.

• Hyperinvariant subspaces for spectral and n-normal operators (with

P. Rosenthal), Acta Sci. Math. (Szeged) 32 (1971), 121-126.

• On reflexive algebras of operators (with P. Rosenthal), Report to

the International Symposium on Operator Theory at Indiana

University (1970), Indiana University Math. J. 20 (1971), 935-937.

• A transitive medial subspace lattice (with K.J. Harrison and

P. Rosenthal), Proc. Amer. Math. Soc. 28 (1971), 119-121.

• Structure of regular total graphs (with M. Behzad), J. London

Math. Soc. 44 (1969), 433-436.

• Another analog of Ramsey numbers (with M. Behzad), Math. Ann.

186 (1970), 228-232.

• The line analog of Ramsey numbers (with M. Behzad), Israel J. Math.

5 (1967), 93-96.

• The total group of a graph (with M. Behzad), Proc. Amer. Math. Soc.

19 (1968), 158-163.

• Products of self-adjoint operators (with J. P. Williams), Mich. Math

J. 16 (1969), 177-185.

• On density of transitive algebras (with E. Nordgren and P. Rosenthal),

Acta. Sci. Math.(Szeged) 30 (1969), 175-179.

• On density of transitive algebras (with E. Nordgren and P. Rosenthal),

Acta. Sci. Math.(Szeged) 30 (1969), 175-179.

• Matrices for operators and generators of B(H) (with P. Rosenthal),

J. London Math. Soc. (2), 2 (1970), 557-560.

• On operator algebras and invariant subspaces (with C. Davis and P.

Rosenthal), Can. J. Math. 21 (1969), 1178-1181.

• The set of irreducible operators is dense(with P. Rosenthal), Proc.

Amer. Math. Soc. 21 (1969), 256.

• On invariant subspaces and reflexive algebras (with P. Rosenthal),

Amer. J. Math. 91 (1969), 683-692.

• Products of Hermitian matrices and symmetries, Proc. Amer. Math.

Soc. 21 (1969), 369-372.

• On self-adjoint factorization of operators, Can. J. Math. 21(1969),

1421-1426.

• Every operator is the sum of two irreducible ones, Proc.Amer.Math.

Soc. 21 (1969), 251-252.

• Invariant subspaces and weakly closed algebras (with P. Rosenthal),

Bull. Amer. Math.Soc.74 (1968), 1013-1014.

• Simultaneous unitary invariants for sets of matrices, Can. J. Math. 20

(1968), 1012-1019.

• Structure of A*A - AA*, J. Math. Mech. 16 (1966), 19-26.

• On unitary equivalence of arbitrary matrices, Trans. Amer. Math. Soc.

104 (1962), 363-373.

**(ii) BOOKS:**

• French Hats in Iran, Mage Publishers, Washington DC, 2011.

• Second edition of Invariant Subspaces by Dover Publications, 2003.

• Simultaneous Trianqularizability (with P. Rosenthal),

Universitext, Springer, New york, 2000.

• Invariant Subspaces (with P. Rosenthal), Ergebnisse der Mathematik

und ihrer Grenzgebiete 77, Springer-Verlag, Heidelberg, New

York. (1973)