On Left and Right Semi-B-Fredholm Operators

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Bibliographische Detailangaben
Hauptverfasser:	Hamdan, Alaa, Berkani, Mohammed
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Functional Analysis 47A53, 16U90, 16U40
Online-Zugang:	Acceder al recurso
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_version_	1866917604295180288
author	Hamdan, Alaa Berkani, Mohammed
author_facet	Hamdan, Alaa Berkani, Mohammed
contents	To complete the study of Fredholm type operators of [10] and [11], we define in this paper the classes of left and right semi-B-Fredholm operators (Definition 3.1). Then, we prove that an operator $T \in L(X), X$ being a Banach space, is a left( resp. right) semi-B-Fredholm operator if and only if $T$ is the direct sum of left(resp. right) semi-Fredholm operator and a nilpotent one. This result extend the earlier characterization of B-Fredholm operators as the direct sum of a Fredholm operator and a nilpotent one obtained in [4,Theorem 2.7].
format	Preprint
id	arxiv_https___arxiv_org_abs_2402_09261
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	On Left and Right Semi-B-Fredholm Operators Hamdan, Alaa Berkani, Mohammed Functional Analysis 47A53, 16U90, 16U40 To complete the study of Fredholm type operators of [10] and [11], we define in this paper the classes of left and right semi-B-Fredholm operators (Definition 3.1). Then, we prove that an operator $T \in L(X), X$ being a Banach space, is a left( resp. right) semi-B-Fredholm operator if and only if $T$ is the direct sum of left(resp. right) semi-Fredholm operator and a nilpotent one. This result extend the earlier characterization of B-Fredholm operators as the direct sum of a Fredholm operator and a nilpotent one obtained in [4,Theorem 2.7].
title	On Left and Right Semi-B-Fredholm Operators
topic	Functional Analysis 47A53, 16U90, 16U40
url	https://arxiv.org/abs/2402.09261

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