Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599762 | Linear Algebra and its Applications | 2014 | 22 Pages |
Abstract
This paper presents the Fredholm theory on lp-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=â and addresses the open questions raised by Chandler-Wilde and Lindner in [S.N. Chandler-Wilde, M. Lindner, Limit operators, collective compactness and the spectral theory of infinite matrices, Mem. Amer. Math. Soc. 210 (989) (2011)]. 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Markus Seidel,