Authors: Ivković, Stefan 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Some extensions of the semi-C*-Fredholm theory
First page: 63
Last page: 86
Conference: Conference on Topological Algebras and Their Applications (ICTAA) 2022
Issue Date: 2023
Rank: M33
ISBN: 979-12-218-0964-0
In this paper we prove that the set of semi-C∗-Weyl operators on self-dual Hilbert W ∗-modules forms a semigroup under the multiplication. Next, we introduce a new concept of generalized Fredholm operators on an infinite dimensional Hilbert space and we show that the set of these operators is invariant
under finite rank perturbations, as well as some other results generalizing their classical counterparts. Moreover, we consider closed range C∗-operators and obtain some of their properties. Finally, we provide concrete examples of semi-C∗-Weyl operators.
Keywords: Semi-Fredholm operator | semi-Weyl operator | generalized Fredholm operator | Hilbert C∗-module
Publisher: aracne

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