\(C^*\)-algebras of singular integral operators with shifts having the same nonempty set of fixed points

DOI10.1007/S11785-008-0051-4zbMath1158.47066OpenAlexW2043648201MaRDI QIDQ941070

Claudio A. Fernandes, Yuri I. Karlovich, Maria Amelia Bastos

Publication date: 4 September 2008

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-008-0051-4

zbMATH Keywords

\(C^*\)-algebrarepresentationspectral measureamenable groupFredholmnesssymbolsymbolic calculusshift operatorsCauchy singular integral operatorslocal-trajectory method

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Abstract operator algebras on Hilbert spaces (47L30) (Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Linear composition operators (47B33) Representation theory of linear operators (47A67) Operator algebras with symbol structure (47L15) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (8)

\(C^{\ast}\)-algebra of nonlocal convolution type operators ⋮ Invertibility criteria in \(C^*\)-algebras of functional operators with shifts and \(PQC\) coefficients ⋮ On Singular Integral Operators with Shifts ⋮ A nonlocal \(C^*\)-algebra of singular integral operators with shifts having periodic points ⋮ Sufficient conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data ⋮ A \(C^\ast\)-algebra of singular integral operators with shifts admitting distinct fixed points ⋮ A C∗-algebra of Singular Integral Operators with Shifts and Piecewise Quasicontinuous Coefficients ⋮ On C*-algebras of singular integral operators with PQC coefficients and shifts with fixed points

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