Bergman space structure, commutative algebras of Toeplitz operators, and hyperbolic geometry

DOI10.1007/s000200300026zbMath1040.47023OpenAlexW67659527MaRDI QIDQ1402343

Nikolai L. Vasilevski

Publication date: 27 August 2003

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

Full work available at URL: https://doi.org/10.1007/s000200300026

zbMATH Keywords

Bergman spacehyperbolic geometryToeplitz operatorscommutative \(C^*\)-algebra generated by Toeplitz operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Spaces of bounded analytic functions of one complex variable (30H05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (15)

The Berezin transform and radial operators on the Bergman space of the unit ball ⋮ Commuting Toeplitz operators on the Segal-Bargmann space ⋮ Commutative algebras generated by Toeplitz operators on the unit sphere ⋮ On the structure of a commutative Banach algebra generated by Toeplitz operators with quasi-radial quasi-homogeneous symbols ⋮ Commuting Toeplitz operators with quasi-homogeneous symbols on the Segal-Bargmann space ⋮ On the commutativity of sums of Toeplitz operators on the Bergman space ⋮ On \(C^\ast\)-algebras of Toeplitz operators on the harmonic Bergman space ⋮ Vertical Toeplitz operators on the upper half-plane and very slowly oscillating functions ⋮ Algebras generated by Toeplitz operators on the unit sphere. II: Non commutative case ⋮ Mixed norm variable exponent Bergman space on the unit disc ⋮ Commutative \(C^{\ast}\)-algebras of Toeplitz operators and quantization on the unit disk ⋮ Algebraic properties of quasihomogeneous and separately quasihomogeneous Toeplitz operators on the pluriharmonic Bergman space ⋮ Commuting quasihomogeneous Toeplitz operator and Hankel operator on weighted Bergman space ⋮ Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols ⋮ On the structure of commutative Banach algebras generated by Toeplitz operators on the unit ball. Quasi-elliptic case. II: Gelfand theory

This page was built for publication: Bergman space structure, commutative algebras of Toeplitz operators, and hyperbolic geometry