A Sequence Algebra of Finite Sections, Convolution, and Multiplication Operators onLP(ℝ)

DOI10.1080/01630560903574977zbMath1197.65055OpenAlexW2050994588MaRDI QIDQ3577999

Pedro A. Santos, Bernd Silbermann, Steffen Roch

Publication date: 13 July 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903574977

zbMATH Keywords

stabilityFourier multipliersoperator algebrasconvolution operatorsWiener-Hopf operatorsalgebra of sequencesfinite sections method

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear operators in algebras (47C05)

Related Items (6)

Corrigendum ⋮ Finite section method for a Banach algebra of convolution type operators on \({L^p(\mathbb R)}\) with symbols generated by \(PC\) and \(SO\) ⋮ Finite section approximations in an algebra of convolution, multiplication and flip operators on \(L^p(\mathbb{R})\) ⋮ Two points, one limit: homogenization techniques for two-point local algebras ⋮ Quasi-banded operators, convolutions with almost periodic or quasi-continuous data, and their approximations ⋮ More Than 40 Years of Algebraic Techniques in Numerical Analysis

Cites Work

• Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren
• Two Projection Theorems and Symbol Calculus for Operators with Massive Local Spectra
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