Authors: Ivković, Stefan 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On Various Generalizations of Semi- A -Fredholm Operators
Journal: Complex Analysis and Operator Theory
Volume: 14
Issue: 3
Issue Date: 1-Apr-2020
Rank: M22
ISSN: 1661-8254
DOI: 10.1007/s11785-020-00995-3
Starting from the definition of A-Fredholm and semi-A-Fredholm operator on the standard module over a unital C∗ algebra A, introduced in Ivković (Banach J Math Anal 13(4):989–1016, 2019) and Mishchenko and Fomenko (Izv Akad Nauk SSSR Ser Mat 43:831–859, 1979), we construct various generalizations of these operators and obtain several results as an analogue or a generalization of the results in Berkani and Sarih (Glasg Math J 43(3):457–465, 2001., Berkani (Proc Am Math Soc 130(6):1717–1723, 2001), Djordjević (Proc Am Math Soc 130(1):81–84, 2001) and Yang (Trans Am Math Soc 216:313–326, 1976). Moreover, we also study non-adjointable semi-A-Fredholm operators as a natural continuation of the work in Irmatov and Mishchenko (J K-Theory 2:329–351, 2008. on non-adjointable A-Fredholm operators and obtain an analogue or a generalization in this setting of the results in Ivković (Banach J Math Anal 13(4):989–1016, 2019; Ann Funct Anal, 2020.
Keywords: Generalized A-Fredholm operator | Generalized A-Weyl operator | Non-adjointable semi-A-Fredholm operator | Semi-A-B-Fredholm operator
Publisher: Springer Link

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