On typical properties of Hilbert space operators

Authors: Tanja Eisner Tamás Mátrai

Publish Date: 2012/09/20

Volume: 195, Issue: 1, Pages: 247-281

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Abstract

We study the typical behavior of bounded linear operators on infinitedimensional complex separable Hilbert spaces in the norm strongstar strong weak polynomial and weak topologies In particular we investigate typical spectral properties the problem of unitary equivalence of typical operators and their embeddability into C 0semigroups Our results provide information on the applicability of Baire category methods in the theory of Hilbert space operators

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