Indices, characteristic numbers and essential commutants of Toeplitz operators

DOI10.1007/BF02384493zbMath1021.47018OpenAlexW2050934792MaRDI QIDQ1810334

Kunyu Guo

Publication date: 16 June 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384493

zbMATH Keywords

Bergman spaceToeplitz operators\(C^*\) algebrasunilateral shiftbilateral shiftsessential commutants

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (4)

Essentially commutative C*-algebras with essential spectrum homeomorphic to S²ⁿ⁻¹ ⋮ Invariant subspaces, quasi-invariant subspaces, and Hankel operators. ⋮ Toeplitz algebra and Hankel algebra on the harmonic Bergman space ⋮ Automorphisms of the Toeplitz algebra with piecewise continuous symbol

Cites Work

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• A new \(C^*\)-algebra and its essential commutant.
• Duality and Hankel operators on the Bergman spaces of bounded symmetric domains
• BMO in the Bergman metric on bounded symmetric domains
• Notes on extensions of \(C^*\)-algebras
• Density of algebras generated by Toeplitz operators on Bergman spaces
• Asymptotic Toeplitz Operators
• Toeplitz Operators on Cartan Domains Essentially Commute with a Bilateral Shift
• C^* -Modules and an Odd-Even Decomposition for C^* -Algebras

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