This is an announcement for the paper "On typical properties of Hilbert space operators" by Tanja Eisner and Tamas Matrai.

Abstract: We study the typical behavior of bounded linear operators on infinite dimensional complex separable Hilbert spaces in the norm, strong-star, 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_0-semigroups. Our results provide information on the applicability of Baire category methods in the theory of Hilbert space operators.

Archive classification: math.FA math.GN

Mathematics Subject Classification: 47A05, 47A10 (Primary) 54E52 (Secondary)

Remarks: 22 pages, submitted

Submitted from: talo@fa.uni-tuebingen.de

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1008.3326

or

http://arXiv.org/abs/1008.3326