A nonlocal \(C^*\)-algebra of singular integral operators with shifts having periodic points

DOI10.1007/S00020-011-1911-2zbMath1267.47015OpenAlexW1975847163MaRDI QIDQ429730

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

Publication date: 20 June 2012

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

Full work available at URL: https://doi.org/10.1007/s00020-011-1911-2

zbMATH Keywords

symbol calculusFredholmnessshifts\(C^*\)-algebra of operatorslocal-trajectory methodpiecewise slowly oscillating functionrepresentation of \(C^*\)-algebras

Mathematics Subject Classification ID

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)

Related Items (4)

\(C^{\ast}\)-algebra of nonlocal convolution type operators ⋮ Invertibility criteria in \(C^*\)-algebras of functional operators with shifts and \(PQC\) coefficients ⋮ 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

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• Fredholmness of singular integral operators with discrete subexponentialgroups of shifts on Lebesgue spaces
• Calderon-Zygmund Operators, Local Mean Oscillation and Certain Automorphisms of the Toeplitz Algebra
• A shift-invariant algebra of singular integral operators with oscillating coefficients

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