Finite Section Method for a Banach Algebra of Convolution Type Operators on $L^p(\mathbb{R})$ with Symbols Generated by $PC$ and $SO$
Functional Analysis
2009-09-22 v1 Numerical Analysis
Abstract
We prove the applicability of the finite section method to an arbitrary operator in the Banach algebra generated by the operators of multiplication by piecewise continuous functions and the convolution operators with symbols in the algebra generated by piecewise continuous and slowly oscillating Fourier multipliers on , .
Keywords
Cite
@article{arxiv.0909.3821,
title = {Finite Section Method for a Banach Algebra of Convolution Type Operators on $L^p(\mathbb{R})$ with Symbols Generated by $PC$ and $SO$},
author = {Alexei Yu. Karlovich and Helena Mascarenhas and Pedro A. Santos},
journal= {arXiv preprint arXiv:0909.3821},
year = {2009}
}
Comments
42 pages