New decompositions for the classes of quasi-Fredholm and semi <i>B</i>-Weyl operators

García, Orlando; Causil, Dairo; Sanabria, José; Carpintero, Carlos

doi:10.1080/03081087.2018.1517718

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2022

2024

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Cited by 2 publications

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“…Next, we introduce an important class of linear operators which have a close link to unbounded generalized B-Fredholm operators, that is, the quasi-Fredholm operators. It is well known that, this notion of operators was first discovered by J.P. Labrousse in the famous paper [6] as a generalization of Fredholm operators on a Hilbert space, and it was also studied by [1,2,10,11] and others.…”

Section: Preliminariesmentioning

confidence: 99%

Unbounded generalized B-Fredholm operators

Boudhief

2024

Extr. Math.

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In this paper, we investigate a new class of unbounded linear operators, that is, the unbounded generalized B-Fredholm operators in Banach space. More explicitly, we provide a characterization of this class of operators and some of its basic properties on a Banach space. Moreover, we study the generalized B-Fredholm spectrum and we prove a perturbation result of an unbounded generalized B-Fredholm operator under a commuting power finite-rank operator.

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