Reducing subspace of analytic Toeplitz operators on the Bergman space
type: Item
instance of: scholarly article
title: Reducing subspace of analytic Toeplitz operators on the Bergman space
zbMATH Open document ID: 1077.47030
author: Junyun Hu
author: Xianmin Xu
author: Dahai Yu
author: Shun Hua Sun
published in: Integral Equations and Operator Theory
publication date: 2004-10-28T00:00:00Z
review text: The main result of the paper is as follows. Let \(\phi\) be a finite Blaschke product. Then the analytic Toeplitz operator \(M_{\phi}\) on the Bergman space over the unit disk is always reducible, and the restriction of \(M_{\phi}\) on a reducing subspace is unitary equivalent to the Bergman shift.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47A20
zbMATH DE Number: 2111530
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: Bergman shift
zbMATH Keywords: reducing subspace
MaRDI profile type: Publication
full work available at URL: s00020-002-1207-7
OpenAlex ID: W2048423649
DOI: 10.1007/S00020-002-1207-7
description: scientific article; zbMATH DE number 2111530