On Bergman-Toeplitz operators with commutative symbol algebras

DOI10.1007/BF01332495zbMath0935.47025OpenAlexW1560236169MaRDI QIDQ1293855

Nikolai L. Vasilevski

Publication date: 24 April 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01332495

zbMATH Keywords

Bergman spacerepresentationsToeplitz operatorsCayley transformCalkin algebrahorocyclessemi-commutatorsymbol algebra

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items

Translation-invariant operators in reproducing kernel Hilbert spaces ⋮ Integral representation of vertical operators on the Bergman space over the upper half-plane ⋮ On compactness of commutators and semi-commutators of Toeplitz operators on the Bergman space ⋮ On the structure of a commutative Banach algebra generated by Toeplitz operators with quasi-radial quasi-homogeneous symbols ⋮ Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions ⋮ Vertical Toeplitz operators on the upper half-plane and very slowly oscillating functions ⋮ Polyharmonic Bergman spaces and Bargmann type transforms ⋮ An alternative description of Gabor spaces and Gabor-Toeplitz operators ⋮ Bergman-Toeplitz operators: Radial component influence ⋮ Properties of generalized Toeplitz operators ⋮ Radial Toeplitz operators revisited: discretization of the vertical case ⋮ On the structure of commutative Banach algebras generated by Toeplitz operators on the unit ball. Quasi-elliptic case. II: Gelfand theory

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