Algebras of Toeplitz operators on the \(n\)-dimensional unit ball

DOI10.1007/S11785-018-0837-YOpenAlexW3101419248MaRDI QIDQ2421359

Wolfram Bauer, Raffael Hagger, Nikolai L. Vasilevski

Publication date: 17 June 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.10372

zbMATH Keywords

weighted Bergman spacesirreducible representationsoperator \(C^*\)-algebra

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (6)

Spectral theorem approach to commutative \(C^\ast\)-algebras generated by Toeplitz operators on the unit ball: quasi-elliptic related cases ⋮ Algebra generated by Toeplitz operators with \(\mathbb{T} \)-invariant symbols ⋮ Algebras generated by Toeplitz operators on the unit sphere. II: Non commutative case ⋮ Correspondence theory on \(p\)-Fock spaces with applications to Toeplitz algebras ⋮ Toeplitz operators on pluriharmonic function spaces: deformation quantization and spectral theory ⋮ Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols

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