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On Semi-Fredholm Band-Dominated Operators

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Abstract

In this paper we study the semi-Fredholm property of band-dominated operators A and prove that it already implies the Fredholmness of A in all cases where this is not disqualified by obvious reasons. Moreover, this observation is applied to show that the Fredholmness of a band-dominated operator already follows from the surjectivity of all its limit operators.

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  1. University of Applied Sciences Zwickau, Dr.-Friedrichs-Ring 2a, 08056, Zwickau, Germany

    Markus Seidel

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  1. Markus Seidel
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Correspondence to Markus Seidel.

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Seidel, M. On Semi-Fredholm Band-Dominated Operators. Integr. Equ. Oper. Theory 83, 35–47 (2015). https://doi.org/10.1007/s00020-015-2219-4

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  • DOI: https://doi.org/10.1007/s00020-015-2219-4

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