The Fredholm index of locally compact band-dominated operators on $L^p (R)$
Functional Analysis
2007-05-23 v1
Abstract
We establish a necessary and sufficient criterion for the Fredholmness of a general locally compact band-dominated operator on and solve the long-standing problem of computing its Fredholm index in terms of the limit operators of . The results are applied to operators of convolution type with almost periodic symbol.
Keywords
Cite
@article{arxiv.math/0604128,
title = {The Fredholm index of locally compact band-dominated operators on $L^p (R)$},
author = {Vladimir S. Rabinovich and Steffen Roch},
journal= {arXiv preprint arXiv:math/0604128},
year = {2007}
}