Toeplitz and Hankel operators and Dixmier traces on the unit ball of $\mathbb C^n$

DOI10.1090/S0002-9939-09-09331-9zbMath1181.47024arXiv0707.2025OpenAlexW1603897433MaRDI QIDQ3642651

Kunyu Guo, Genkai Zhang, Miroslav Engliš

Publication date: 6 November 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2025

zbMATH Keywords

Bergman spacetraceToeplitz operatorsFock spaceHankel operatorsDixmier tracepseudo-differential operatorsSchatten-von Neumann classesboundary CR operatorsinvariant Banach spacesMacaev classespseudo-Toeplitz operators

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36)

Related Items (12)

Best approximations in a class of Lorentz ideals ⋮ Dixmier trace for Toeplitz operators on symmetric domains ⋮ Principal measures and spectral shift measures associated with Dixmier traces ⋮ Espace de Dixmier des opérateurs de Hankel sur les espaces de Bergman à poids ⋮ Dixmier traces, Cesàro means and logarithms ⋮ Helton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spaces ⋮ Dixmier trace and the Fock space ⋮ Spectral triples and Toeplitz operators ⋮ A trace formula on invariant subspaces of Hardy space induced by rotation-invariant Borel measure ⋮ Toeplitz operators associated with measures and the Dixmier trace on the Hardy space ⋮ Traces of Commutators of Integral Operators – the Aftermath ⋮ Localization and the Toeplitz algebra on the Bergman space

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