Band-Dominated Fredholm Operators and a Question of Rabinovich, Roch and Silbermann

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Withdrawn due to a likely error with the homeomorphism at line (4).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.
Withdrawn due to a likely error

Keywords

Functional Analysis, Operator Algebras

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/164173

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.4697
 http://arxiv.org/abs/0806.4697

Collections

arXiv