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DTSTART;TZID=America/Toronto:20130719T153000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-hutchinso
 n-jul-19-2013
LOCATION:MC - Mathematics & Computer Building 200 University Avenue West 50
 45 Waterloo ON N2L 3G1 Canada
SUMMARY:Analysis seminar
CLASS:PUBLIC
DESCRIPTION:GEORGE HUTCHINSON\, DEPARTMENT OF PURE MATH\, UNIVERSITY OF WAT
 ERLOO\n\n“ALMOST COMMUTING MATRICES AND LIN’S THEOREM”\n\nSuppose th
 at two finite rank\, self-adjoint matrices A and B have small\ncommutator
 —that is\, the norm of AB−BA is small. Are there\nnecessarily two fini
 te rank\, self-adjoint matrices A′ and B′ that\ncommute with each othe
 r such that A′ is sufficiently close to A and\nB′ is sufficiently clos
 e to B? We will prove the titular theorem\n(which answers this in the affi
 rmative) as well as examining a similar\nproblem regarding unitary matrice
 s.
DTSTAMP:20260605T122832Z
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