Band-Dominated Fredholm Operators and a Question of Rabinovich, Roch and Silbermann
Functional Analysis
2008-07-05 v2 Operator Algebras
Abstract
Withdrawn due to a likely error with the homeomorphism at line (4). Old abstract: In the monograph 'Limit Operators and their Applications in Operator Theory', the authors define the operator spectrum of a band-dominated operator T and prove that T is Fredholm if and only if all of the operators in its operator spectrum are invertible with uniformly bounded inverses. They also ask whether the uniform boundedness condition can in fact be dispensed with. In this note we answer this question affirmatively.
Keywords
Cite
@article{arxiv.0806.4697,
title = {Band-Dominated Fredholm Operators and a Question of Rabinovich, Roch and Silbermann},
author = {Rufus Willett},
journal= {arXiv preprint arXiv:0806.4697},
year = {2008}
}
Comments
Withdrawn due to a likely error