Algebras generated by Toeplitz operators on the unit sphere. II: Non commutative case

DOI10.1007/978-3-030-51945-2_20zbMath1494.47128OpenAlexW3143861429MaRDI QIDQ1980924

Maribel Loaiza, Nikolai L. Vasilevski

Publication date: 9 September 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-51945-2_20

zbMATH Keywords

Hardy spaceBergman spaceToeplitz operatorcommutative \(C^*\)-algebranon-commutative \(C^*\)-algebra

Mathematics Subject Classification ID

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

Cites Work

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• On algebras generated by Toeplitz operators and their representations
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• Commutative algebras generated by Toeplitz operators on the unit sphere
• Localization and the Toeplitz algebra on the Bergman space
• Algebras of Toeplitz operators on the \(n\)-dimensional unit ball
• Commutative algebras of Toeplitz operators on the Bergman space
• Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. I: Bargmann-type transforms and spectral representations of Toeplitz operators
• Heat flow, weighted Bergman spaces, and real analytic Lipschitz approximation
• Toeplitz operators and Toeplitz algebra with symbols of vanishing oscillation
• Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus
• Inequalities for the beta function of n variables
• Uniform continuity and quantization on bounded symmetric domains
• The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$

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