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arXiv · 1906.03319

Semi-Fredholm Theory on Hilbert C*-modules

Stefan Ivkovic
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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.

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Stefan Ivkovic. 2019-06-07. Semi-Fredholm Theory on Hilbert C*-modules. https://doi.org/10.1215/17358787-2019-0022

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