Band-Dominated Fredholm Operators and a Question of Rabinovich, Roch and Silbermann
نویسنده
چکیده
In the monograph [2], the authors define the operator spectrum σ op (A) of a band-dominated operator A (these terms are defined below) and prove that A is Fredholm if and only if all of the operators in σ op (A) 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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