A double commutant relation in the Calkin algebra on the Bergman space

DOI10.1016/J.JFA.2017.11.004zbMath1394.46044OpenAlexW2769400630MaRDI QIDQ1694691

Jingbo Xia

Publication date: 6 February 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.11.004

zbMATH Keywords

Bergman spaceToeplitz algebraCalkin algebradouble commutant relation

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Bergman spaces of functions in several complex variables (32A36) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (5)

A general Simonenko local principle and Fredholm condition for isotypical components ⋮ Essential commutants on strongly pseudo-convex domains ⋮ Geometric Arveson-Douglas conjecture for the Hardy space and a related compactness criterion ⋮ The double commutant property for composition operators ⋮ Band-dominated operators on Bergman-type spaces

Cites Work

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• On Voiculescu’s double commutant theorem
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