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

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

2008-06-28

arxiv.org/abs/0806.4697v2

Mathematics

Functional Analysis

Withdrawn due to a likely error

Scientific paper

Withdrawn due to a likely error with the homeomorphism at line (4).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

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