A \(C^\ast\)-algebra of singular integral operators with shifts admitting distinct fixed points

DOI10.1016/j.jmaa.2013.12.001zbMath1316.47063OpenAlexW1969870302MaRDI QIDQ2019252

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

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.12.001

zbMATH Keywords

Fredholmness\(C^\ast\)-algebrafaithful representationpiecewise slowly oscillating functionsingular integral operator with shifts

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Representation theory of linear operators (47A67) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (8)

Spectrum of weighted isometries: \(C^*\)-algebras, transfer operators and topological pressure ⋮ \(C^{\ast}\)-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 ⋮ Crossed products by endomorphisms of \(C_{0}(X)\)-algebras ⋮ A C∗-algebra of Singular Integral Operators with Shifts and Piecewise Quasicontinuous Coefficients ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples ⋮ On C*-algebras of singular integral operators with PQC coefficients and shifts with fixed points

Cites Work

• A nonlocal \(C^*\)-algebra of singular integral operators with shifts having periodic points
• Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
• Convolution operators and factorization of almost periodic matrix functions
• Spectral measures in \(C^{*}\)-algebras of singular integral operators with shifts
• \(C^*\)-algebras of singular integral operators with shifts having the same nonempty set of fixed points
• \(C^*\)-algebras of integral operators with piecewise slowly oscillating coefficients and shifts acting freely
• Algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients
• AN ALGEBRA OF SINGULAR INTEGRAL OPERATORS WITH PIECEWISE-CONTINUOUS COEFFICIENTS AND A PIECEWISE-SMOOTH SHIFT ON A COMPOSITE CONTOUR
• Fredholm Toeplitz Operators and Slow Oscillation
• Fredholmness of singular integral operators with discrete subexponentialgroups of shifts on Lebesgue spaces
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