On complex symmetric Toeplitz operators
type: Item
instance of: scholarly article
title: On complex symmetric Toeplitz operators
zbMATH Open document ID: 1347.47019
author: Eungil Ko
author: Jieun Lee
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-11-10T00:00:00Z
review text: Let \(\mathcal H\) denote a separable complex Hilbert space. A bounded linear operator \(T\) on \(\mathcal H\) is said to be complex symmetric if there exists a conjugation \(C\) on \(\mathcal H\) such that \(CTC=T^\ast\). Recall that a conjugation on \(\mathcal H\) is a conjugate-linear, isometric involution. In the present paper, the authors study properties of certain complex symmetric Toeplitz operators on the Hardy space \(H^2\) over the open unit disk. In particular, they give a concrete description of those Toeplitz operators which are complex symmetric relative to certain special conjugations.
reviewed by: Sen Zhu
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 6506787
zbMATH Keywords: complex symmetric operator
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: normal operator
MaRDI profile type: Publication
full work available at URL: j.jmaa.2015.09.004
OpenAlex ID: W1674847271
cites work: Q5725935
cites work: Hyponormality and spectra of Toeplitz operators
cites work: Q5484153
cites work: Mathematical and physical aspects of complex symmetric operators
cites work: Complex symmetric operators and applications
cites work: Complex symmetric operators and applications II
cites work: A canonical decomposition of complex symmetric operators
cites work: Ten problems in Hilbert space
cites work: Subnormality and Quasinormality of Toeplitz Operators
cites work: On complex symmetric operator matrices
cites work: On local spectral properties of complex symmetric operators
cites work: Conditions for bound states in a periodic linear chain, and the spectra of a class of Toeplitz operators in terms of polylogarithm functions
cites work: A note on Aluthge transforms of complex symmetric operators and applications
DOI: 10.1016/J.JMAA.2015.09.004
description: scientific article; zbMATH DE number 6506787