Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data

DOI10.1002/mana.200310163zbMath1063.47039OpenAlexW2167679819MaRDI QIDQ3044020

Yuri I. Karlovich, Maria Amelia Bastos, Antonio Bravo

Publication date: 10 August 2004

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310163

zbMATH Keywords

Banach algebrasymbol calculusconvolution type operatorsFredholmnesslocal principletwo projections theoremslowly oscillating matrix

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Linear operators in algebras (47C05)

Related Items (6)

Index formula for convolution type operators with data functions in \(\operatorname{alg}(SO,PC)\) ⋮ Finite section method for a Banach algebra of convolution type operators on \({L^p(\mathbb R)}\) with symbols generated by \(PC\) and \(SO\) ⋮ Algebras of convolution-type operators with piecewise slowly oscillating data on weighted Lebesgue spaces ⋮ Algebras of pseudodifferential operators with discontinuous oscillating symbols. ⋮ Algebras of convolution type operators with piecewise slowly oscillating data. I: Local and structural study ⋮ Algebras of convolution type operators with piecewise slowly oscillating data. II: Local spectra and Fredholmness

This page was built for publication: Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data