Unbounded Toeplitz operators
type: Item
instance of: scholarly article
title: Unbounded Toeplitz operators
zbMATH Open document ID: 1155.47033
author: Donald Sarason
published in: Integral Equations and Operator Theory
publication date: 2008-08-21T00:00:00Z
review text: The author presents the basic theory of unbounded Toeplitz operators on the Hardy space \(H^2\) of the unit disc. This includes a brief review about unbounded Toeplitz operators with \(L^2\) symbols, preliminary material on the Smirnov class and de Branges-Rovnyak spaces, and then properties of analytic and coanalytic Toeplitz operators. Compressions of unbounded Toeplitz operators to invariant subspaces of the backward shift on \(H^2\) are also studied. The paper ends by stating some open questions.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 30D50
zbMATH DE Number: 5314946
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: truncated Toeplitz operator
zbMATH Keywords: Hardy space
zbMATH Keywords: Smirnov class
zbMATH Keywords: de Branges-Rovnyak space
reviewed by: L. P. Castro
MaRDI profile type: Publication
full work available at URL: s00020-008-1588-3
OpenAlex ID: W2035144808
DOI: 10.1007/S00020-008-1588-3
description: scientific article; zbMATH DE number 5314946