Complex symmetry of a dense class of operators
type: Item
instance of: scholarly article
title: Complex symmetry of a dense class of operators
zbMATH Open document ID: 1284.47014
author: D. Kharzeev
published in: Integral Equations and Operator Theory
publication date: 2012-10-11T00:00:00Z
review text: The authors show that the set of complex symmetric operators on a Hilbert space is nowhere dense in the set of all bounded operators, though it contains the normal operators, truncated Toeplitz operators, Hankel operators, and some other large classes characterized in the paper.
reviewed by: Jaroslav Zemánek
Mathematics Subject Classification ID: 47A58
Mathematics Subject Classification ID: 47B37
zbMATH DE Number: 6092897
zbMATH Keywords: complex symmetric operators
zbMATH Keywords: weighted shifts
zbMATH Keywords: nilpotent operators
zbMATH Keywords: compact operators
MaRDI profile type: Publication
full work available at URL: s00020-012-1957-9
OpenAlex ID: W2032786423
cites work: Unitary equivalence to a complex symmetric matrix: geometric criteria
cites work: On an extremal problem of Garcia and Ross
cites work: Large scale detection of half-flats in CAT(0)-spaces
cites work: Aluthge transforms of complex symmetric operators
cites work: On the closure of the complex symmetric operators: compact operators and weighted shifts
cites work: Unitary equivalence to a complex symmetric matrix: a modulus criterion
cites work: Complex symmetric operators and applications
cites work: Complex symmetric operators and applications II
cites work: Interpolation and complex symmetry
cites work: Unitary equivalence of a matrix to its transpose
cites work: Complex symmetric partial isometries
cites work: Some new classes of complex symmetric operators
cites work: Remarks on the structure of complex symmetric operators
cites work: Q3800573
cites work: Quasitriangular $+$ small compact $=$ strongly irreducible
cites work: Algebraic properties of truncated Toeplitz operators
cites work: The class of complex symmetric operators is not norm closed
cites work: Complex symmetric weighted shifts
DOI: 10.1007/S00020-012-1957-9
description: scientific article; zbMATH DE number 6092897