Invertibility criteria in \(C^*\)-algebras of functional operators with shifts and \(PQC\) coefficients

DOI10.1007/S00020-019-2520-8zbMath1448.46043OpenAlexW2938793985MaRDI QIDQ2422669

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

Publication date: 20 June 2019

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

Full work available at URL: https://doi.org/10.1007/s00020-019-2520-8

zbMATH Keywords

\(C^*\)-algebrashiftinvertibilityamenable groupfunctional operatorpiecewise quasicontinuous function

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Limit algebras, subalgebras of (C^*)-algebras (47L40) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (2)

On Singular Integral Operators with Shifts ⋮ 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
• 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
• Cluster set, essential range and distance estimates in BMO
• Limit operators and their applications in operator theory
• A \(C^\ast\)-algebra of singular integral operators with shifts admitting distinct fixed points
• Functions of Vanishing Mean Oscillation
• Singular Integral Equations with PQC Coefficients and Freely Transformed Argument
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