The \(C^{*}\)-algebra of singular integral operators with semi-almost periodic coefficients.

DOI10.1016/S0022-1236(03)00126-5zbMath1048.47027OpenAlexW2087136669MaRDI QIDQ1421837

Yuri I. Karlovich, Albrecht Böttcher, Ilya M. Spitkovskij

Publication date: 3 February 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(03)00126-5

zbMATH Keywords

singular integral operatorToeplitz operatoralmost periodic function\(C^\ast\)-algebrasemi-almost periodic functionmatrix function\(C^\ast\)-dynamical system

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) (Semi-) Fredholm operators; index theories (47A53) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (8)

C*-algebras of Bergman-type operators with piecewise continuous coefficients and shifts ⋮ On Nonlocal C *-algebras of Two-dimensional Singular Integral Operators ⋮ \(C^{\ast}\)-algebra of nonlocal convolution type operators ⋮ Reduction of singular integral operators with flip and their Fredholm property ⋮ Vector Semi-Fredholm Toeplitz Operators and Mean Winding Numbers ⋮ Spectral measures in \(C^{*}\)-algebras of singular integral operators with shifts ⋮ A C∗-algebra of Singular Integral Operators with Shifts and Piecewise Quasicontinuous Coefficients ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convolution operators and factorization of almost periodic matrix functions
• On algebras generated by convolutions and discontinuous functions
• Factorization of measurable matrix functions. Ed. by Georg Heinig. Transl. from the Russian by Bernd Luderer. With a foreword by Bernd Silbermann. (Licensed ed.)
• One-dimensional linear singular integral equations. I. Introduction. Transl. from the German by Bernd Luderer and Steffen Roch
• Toeplitz operators with semialmost periodic symbols
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• Linear functional equations. Operator approach. Transl. from the Russian by V. Muzafarov a. A. Iacob
• Algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients
• FACTORIZATION OF ALMOST PERIODIC MATRIX-VALUED FUNCTIONS AND THE NOETHER THEORY FOR CERTAIN CLASSES OF EQUATIONS OF CONVOLUTION TYPE
• On Completely Continuous Hankel Matrices
• TRANSLATION OPERATORS ON THE HALF-LINE
• SOME GENERAL QUESTIONS IN THE THEORY OF THE RIEMANN BOUNDARY PROBLEM
• Approximation of Piecewise Continuous Functions by Quotients of Bounded Analytic Functions
• Toeplitz Operators with Piecewise Quasisectorial Symbols
• Toeplitz operators with semi-almost-periodic matrix symbols on Hardy spaces

This page was built for publication: The \(C^{*}\)-algebra of singular integral operators with semi-almost periodic coefficients.