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October 2019 Semi-Fredholm theory on Hilbert C-modules
Stefan Ivković
Banach J. Math. Anal. 13(4): 989-1016 (October 2019). DOI: 10.1215/17358787-2019-0022

Abstract

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 we 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 Ivković. "Semi-Fredholm theory on Hilbert C-modules." Banach J. Math. Anal. 13 (4) 989 - 1016, October 2019. https://doi.org/10.1215/17358787-2019-0022

Information

Received: 4 April 2019; Accepted: 22 May 2019; Published: October 2019
First available in Project Euclid: 9 October 2019

zbMATH: 07118771
MathSciNet: MR4016906
Digital Object Identifier: 10.1215/17358787-2019-0022

Subjects:
Primary: 47A53
Secondary: 46L08

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.13 • No. 4 • October 2019
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