2014/07/30 by Markus Seidel · 1 citation
Mathematics · #math.FA #msc:47A53 #msc:47L10 #msc:47B36 #msc:46E40
paper · pdf · doi:10.1007/s00020-015-2219-4
published as Integr. Equ. Oper. Theory., 83(1) (2015), 35-47
arxiv created 2014/07/30 · arxiv updated 2015/11/23
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.