Algebras of convolution type operators with piecewise slowly oscillating data. II: Local spectra and Fredholmness

DOI10.1007/S00020-012-2003-7zbMath1275.47104OpenAlexW1991278871MaRDI QIDQ1946584

Iván Loreto Hernández, Yuri I. Karlovich

Publication date: 15 April 2013

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

Full work available at URL: https://doi.org/10.1007/s00020-012-2003-7

zbMATH Keywords

spectramaximal ideal spacelimit operatorconvolution type operatorpiecewise slowly oscillating functionFredholm symbol calculustwo idempotents theoremMellin pseudodifferential operator

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) (Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (10)

Algebras of convolution type operators with continuous data do not always contain all rank one operators ⋮ Index formula for convolution type operators with data functions in \(\operatorname{alg}(SO,PC)\) ⋮ \(C^{\ast}\)-algebra of nonlocal convolution type operators ⋮ Algebras of convolution-type operators with piecewise slowly oscillating data on weighted Lebesgue spaces ⋮ Fredholmness of singular integral operators with complex conjugation on star-like curves with cusps ⋮ Fourier convolution operators with symbols equivalent to zero at infinity on Banach function spaces ⋮ Algebras of convolution type operators with piecewise slowly oscillating data. I: Local and structural study ⋮ Localization of a Class of Muckenhoupt Weights by Using Mellin Pseudo-Differential Operators ⋮ Quasi-banded operators, convolutions with almost periodic or quasi-continuous data, and their approximations ⋮ Fredholmness and index of simplest weighted singular integral operators with two slowly oscillating shifts

Cites Work

• Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
• Sufficient conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data
• Necessary conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data
• Convolution operators and factorization of almost periodic matrix functions
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• Limit operators and their applications in operator theory
• Algebras of convolution type operators with piecewise slowly oscillating data. I: Local and structural study
• Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data
• Algebras of Pseudo-differential Operators with Discontinuous Symbols
• On Convolution Type Operators with Piecewise Slowly Oscillating Data
• AN ALGEBRA OF PSEUDODIFFERENTIAL OPERATORS WITH SLOWLY OSCILLATING SYMBOLS
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