Index theory for Toeplitz operators on bounded symmetric domains

DOI10.1090/S0273-0979-1987-15477-2zbMath0636.47022MaRDI QIDQ3776095

Harald Upmeier

Publication date: 1987

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

zbMATH Keywords

index theoryFredholm indexJordan triple productWiener-Hopf operatorsToeplitz operators on the Hardy space of the Shilov boundary of an arbitrary bounded symmetric domain

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential geometry of symmetric spaces (53C35)

Cites Work

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• Toeplitz \(C^*\)-algebras on bounded symmetric domains
• The completely positive lifting problem for \(C^*\)-algebras
• Extensions of \(C^*\)-algebras and \(K\)-homology
• On the index of Toeplitz operators of several complex variables
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Fredholm operators associated with strongly pseudoconvex domains in \(C^n\)
• Toeplitz Operators on Bounded Symmetric Domains
• Toeplitz operators and solvable 𝐶*-algebras on Hermitian symmetric spaces
• Inversion problem for singular integral operators: C ^* -approach

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