Satish Pandey, Department of Pure Mathematics, University of Waterloo
“A Spectral Characterization of Absolutely Norming Operators on S.N. Ideal"
We establish some spectral characterization theorems for operators on complex Hilbert spaces of arbitrary dimensions that attain their various symmetric norms on every closed sub- space. We exhibit the analysis of these absolutely norming operators with respect to symmetric norms and prove the existence of a symmetric norm on the algebra B(H) with respect to which the identity operator does not achieve its norm thereby violating the general intuition resulting from above established spectral theorems which suggest that all such operators should be of the same form.
MC 5403
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