Reducing subspaces of non-analytic Toeplitz operators on weighted Hardy and Dirichlet spaces of the bidisk
type: Item
instance of: scholarly article
title: Reducing subspaces of non-analytic Toeplitz operators on weighted Hardy and Dirichlet spaces of the bidisk
zbMATH Open document ID: 1493.47039
author: Caixing Gu
published in: Journal of Mathematical Analysis and Applications
publication date: 2017-12-12T00:00:00Z
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 32A35
Mathematics Subject Classification ID: 42B30
zbMATH DE Number: 6817611
zbMATH Keywords: reducing subspaces
zbMATH Keywords: non-analytic Toeplitz operators
zbMATH Keywords: weighted Hardy space of the bidisk
zbMATH Keywords: weighted Dirichlet space of the bidisk
zbMATH Keywords: commutant of a von Neumann algebra
MaRDI profile type: Publication
full work available at URL: j.jmaa.2017.11.004
OpenAlex ID: W2769176123
cites work: Q4537717
cites work: \(m\)-isometric transformations of Hilbert space. I
cites work: REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK
cites work: Cyclic Vectors in the Dirichlet Space
cites work: Multiplication operators defined by a class of polynomials on \({L_a^2(\mathbb{D}^2)}\)
cites work: Reducing subspaces for a class of non-analytic Toeplitz operators on the bidisk
cites work: Multiplication operators on the Bergman space via analytic continuation
cites work: Reducing subspaces for analytic multipliers of the Bergman space
cites work: The \((m,q)\)-isometric weighted shifts on \(l_{p}\) spaces
cites work: On \((m, p)\)-expansive and \((m, p)\)-contractive operators on Hilbert and Banach spaces
cites work: Reducing subspaces of weighted shifts with operator weights
cites work: Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces
cites work: Multiplication operators on the Bergman space
cites work: Reducing subspaces of tensor products of weighted shifts
cites work: Q3868344
cites work: Möbius-invariant Hilbert spaces in polydiscs
cites work: Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk
cites work: Reducing subspaces of multiplication operators on the Dirichlet space
cites work: A Representation Theorem for Cyclic Analytic Two-Isometries
cites work: Reducing subspaces for Toeplitz operators on the polydisk
cites work: Q4059478
cites work: Reducing subspaces of weighted shift operators
cites work: Reducing subspaces of multiplication operators with the symbol \(\alpha z^k+\beta w^l\) on \(L_a^2 (\mathbb D^2)\)
cites work: Reducing Subspaces for a Class of Multiplication Operators
DOI: 10.1016/J.JMAA.2017.11.004
description: scientific article; zbMATH DE number 6817611