On typical properties of Hilbert space operators

Open Access
Authors
Publication date 2013
Journal Israel Journal of Mathematics
Volume | Issue number 195 | 1
Pages (from-to) 247-281
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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.
Document type Article
Language English
Published at https://doi.org/10.1007/s11856-012-0128-7
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