A 1n-inverse of multivalued operators-Reference-Cited by-同舟云学术

A 1n-inverse of multivalued operators

Published:2023 Issue:27 Volume:37 Page:9229-9241
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Garbouj Zied¹,Skhiri Haïkel²

Affiliation:

1. Institut Supérieur des Sciences Appliquées et de Technologie de Kairouan, Département de Mathématiques, Kairouan, Tunisia

2. Faculté des Sciences de Monastir, Département de Mathématiques, Monastir, Tunisia

Abstract

For an everywhere defined closed linear relation in a Banach space the concept of 1n-invertibility is introduced and studied. It is shown that many of the results of S.R. Caradus and other authors for operators remain valid in the context of multivalued linear operators. In particular, we gather some results and characterizations of 1n-invertibility and semi-Fredholm linear relations. Some stability results under perturbations by compact relations are also given for this concept. Part of the results proved in this paper improve and generalize some results known for pseudo-generalized invertible operators [Filomat 36:8 (2022), 2551-2572].

Publisher

National Library of Serbia

Reference20 articles.

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