Semi-Fredholm Theory on Hilbert C*-modules
Operator Algebras
2019-12-19 v1 Functional Analysis
Abstract
In this paper we establish the semi-Fredholm theory on Hilbert C*-modules as a continuation of Fredholm theory on Hilbert C*-modules established by Mishchenko and Fomenko. We give a definition of a semi-Fredholm operator on Hilbert C*-module and prove that these semi-Fredholm operators are those that are one-sided invertible modulo compact operators, that the set of proper semi-Fredholm operators is open and many other results that generalize their classical counterparts.
Keywords
Cite
@article{arxiv.1906.03319,
title = {Semi-Fredholm Theory on Hilbert C*-modules},
author = {Stefan Ivkovic},
journal= {arXiv preprint arXiv:1906.03319},
year = {2019}
}
Comments
The paper has been accepted by the Banach Journal of Mathematical Analysis