Toeplitz operators via sesquilinear forms
type: Item
instance of: scholarly article
title: Toeplitz operators via sesquilinear forms
zbMATH Open document ID: 1464.47020
DOI: 10.1007/978-3-319-62527-0_9
author: Grigori Rozenblum
author: Nikolai Vasilevski
publication date: 2019-02-26T00:00:00Z
review text: This survey paper gives a common approach to studying Toeplitz operators on reproducing kernel Hilbert spaces, which is based on the language of sesquilinear forms and allows one to consider for Toeplitz operators non-standard symbols being unbounded functions, measures, and compactly supported distributions. A lot of concrete examples are analysed, which include Toeplitz operators with non-standard symbols on the Fock space, on the Bergman space, and on the Herglotz space consisting of solutions of the Helmholtz equation. For the entire collection see [Zbl 1392.45001].
reviewed by: Yuri I. Karlovich
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 46E20
Mathematics Subject Classification ID: 46E22
Mathematics Subject Classification ID: 47B32
zbMATH DE Number: 7029830
zbMATH Keywords: reproducing kernel Hilbert space
zbMATH Keywords: sesquilinear form
zbMATH Keywords: Toeplitz operators
zbMATH Keywords: Fock space
zbMATH Keywords: Bergman space
zbMATH Keywords: Herglotz space
MaRDI profile type: Publication
full work available at URL: 978-3-319-62527-0 9
OpenAlex ID: W2795063275
description: scientific article; zbMATH DE number 7029830