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arXiv · 1307.1635

Fredholm theory for band-dominated and related operators: a survey

Markus Seidel
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Abstract

This paper presents the Fredholm theory on l^p-spaces for band-dominated operators and important subclasses, such as operators in the Wiener algebra. It particularly closes several gaps in the previously known results for the case p=\infty and addresses the open questions raised in a paper by Chandler-Wilde and Lindner. The main tools are provided by the limit operator method and an algebraic framework for the description and adaption of Fredholmness and convergence. A comprehensive overview of this approach is given.

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Markus Seidel. 2013-07-05. Fredholm theory for band-dominated and related operators: a survey. https://doi.org/10.1016/j.laa.2013.11.048

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