ᵀ2^*-algebras of Bergman type operators with continuous coefficients on polygonal domains

DOI10.7153/oam-09-45zbMath1347.47050OpenAlexW2508620802MaRDI QIDQ2814820

Yuri I. Karlovich

Publication date: 23 June 2016

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-09-45

zbMATH Keywords

\(C^*\)-algebrapolygoninvertibilityFredholmnesssectorlocal principleBergman and anti-Bergman projectionssymbol calculi

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) (Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Operator algebras with symbol structure (47L15)

Related Items (4)

\(C^*\)-algebras of poly-Bergman type operators over sectors ⋮ \(C^\ast\)-algebras of poly-Bergman type operators with piecewise slowly oscillating coefficients ⋮ \(C^*\)-algebras of Bergman type operators with piecewise continuous coefficients over domains with Dini-smooth corners ⋮ C*-algebras of Bergman type operators with piecewise slowly oscillating coefficients over domains with Dini-smooth corners

Cites Work

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• Algebras generated by the Bergman and anti-Bergman projections and by multiplications by piecewise continuous functions
• \(C^\ast\)-algebras of Bergman type operators with piecewise constant coefficients over sectors
• On the structure of Bergman and poly-Bergman spaces
• Algebras generated by the Bergman projection and operators of multiplication by piecewise continuous functions
• On an algebra of Toeplitz operators with piecewise continuous symbols
• On the algebra generated by the harmonic Bergman projection and operators of multiplication by piecewise continuous functions
• \(C^*\)-algebras of Bergman type operators with piecewise continuous coefficients

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