Algebraic properties and the finite rank problem for Toeplitz operators on the Segal-Bargmann space
type: Item
instance of: scholarly article
title: Algebraic properties and the finite rank problem for Toeplitz operators on the Segal-Bargmann space
zbMATH Open document ID: 1339.47035
author: Wolfram Bauer
author: Trieu Le
published in: Journal of Functional Analysis
publication date: 2011-11-24T00:00:00Z
review text: In this paper, the authors present a systematic study of Toeplitz operators on the Segal-Bargmann space. Some of the results obtained are generalizations of earlier results on the unit disc. However, the authors also notice come new phenomena in this setting. In particular, they construct non-zero Toeplitz operators whose product is zero.
reviewed by: Yunus E. Zeytuncu
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 5978463
zbMATH Keywords: commuting operators
zbMATH Keywords: finite rank problem
zbMATH Keywords: zero-products of Toeplitz operators
MaRDI profile type: Publication
full work available at URL: j.jfa.2011.07.006
OpenAlex ID: W2067266798
cites work: Finite rank Toeplitz operators: Some extensions of D.\,Luecking's theorem
cites work: Berezin--Toeplitz quantization and composition formulas
cites work: Commuting Toeplitz operators with quasi-homogeneous symbols on the Segal-Bargmann space
cites work: Commuting Toeplitz operators on the Segal-Bargmann space
cites work: On higher dimensional Luecking's theorem
cites work: On the Berezin-Toeplitz calculus
cites work: Mellin transform, monomial symbols, and commuting Toeplitz operators
cites work: Q3084090
cites work: Toeplitz operators on the Fock space: Radial component effects.
cites work: Unbounded Toeplitz operators in the Bargmann-Segal space
cites work: Unbounded Toeplitz operators in the Segal-Bargmann space. II
cites work: The commutants of certain Toeplitz operators on weighted Bergman spaces
cites work: Finite-rank products of Toeplitz operators in several complex variables
cites work: Finite rank Toeplitz operators on the Bergman space
cites work: Finite Rank Toeplitz Operators in the Bergman Space
cites work: Finite rank Bergman-Toeplitz and Bargmann-Toeplitz operators in many dimensions
DOI: 10.1016/J.JFA.2011.07.006
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description: scientific article; zbMATH DE number 5978463