English

On Semi-Fredholm Band-Dominated Operators

Functional Analysis 2015-11-23 v1

Abstract

In this paper we study the semi-Fredholm property of band-dominated operators AA and prove that it already implies the Fredholmness of AA 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.

Keywords

Cite

@article{arxiv.1407.8104,
  title  = {On Semi-Fredholm Band-Dominated Operators},
  author = {Markus Seidel},
  journal= {arXiv preprint arXiv:1407.8104},
  year   = {2015}
}
R2 v1 2026-06-22T05:16:49.471Z