Algebras generated by the Bergman projection and operators of multiplication by piecewise continuous functions

DOI10.1007/s000200300025zbMath1035.47013OpenAlexW381516630MaRDI QIDQ1402342

Maribel Loaiza

Publication date: 27 August 2003

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000200300025

zbMATH Keywords

\(C^*\)-algebraintegral transformBergman projectionFredholm operatorirreducible representationslocal principle

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Operator spaces (= matricially normed spaces) (47L25) Kernel operators (47B34)

Related Items (9)

C*-algebras of Bergman-type operators with piecewise continuous coefficients and shifts ⋮ \(C^*\)-algebras of poly-Bergman type operators over sectors ⋮ \(C^\ast\)-algebras of Bergman type operators with piecewise constant coefficients over sectors ⋮ On the \(C^\ast\)-algebra generated by the Bergman operator, Carleman second-order shift, and piecewise continuous coefficients ⋮ \(C^\ast\)-algebras of poly-Bergman type operators with piecewise slowly oscillating coefficients ⋮ On \(C^\ast\)-algebras of Toeplitz operators on the harmonic Bergman space ⋮ \(C^*\)-algebras of Bergman type operators with piecewise continuous coefficients over domains with Dini-smooth corners ⋮ ᵀ2^*-algebras of Bergman type operators with continuous coefficients on polygonal domains ⋮ C*-algebras of Bergman type operators with piecewise slowly oscillating coefficients over domains with Dini-smooth corners

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