Pseudo-generalized inverse II-Reference-Cited by-同舟云学术

Pseudo-generalized inverse II

Published:2022 Issue:13 Volume:36 Page:4575-4590
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Lahmar Asma¹,Skhiri Haïkel¹

Affiliation:

1. Faculté des Sciences de Monastir, Département de Mathématiques, Avenue de l’environnement, Monastir, Tunisia

Abstract

The purpose of this paper is to continue the study initiated in [7] concerning the notion of pseudo-generalized inverse. In this work, we are interested in investigating the relationship between compactness, finite rank and pseudo-generalized invertibility for bounded operators. The preserving properties of products of pseudo-generalized invertible operators are also treated and related results are given. At the end of this paper, we discuss in some special cases the relationship between the sets of n-left pseudo-generalized inverses of a left pseudo-generalized invertible operator T.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference11 articles.

1. S. R. Caradus, Operator theory of the pseudo-inverse, Queen’s Papers in Pure and Applied Mathematics, 38. Kingston, Ontario, Canada: Queen’s University. II, 67 p. 1974.

2. S. R. Caradus, Generalized inverses and operator theory, Queen’s Pap. Pure Appl. Math. 50, 206 p. 1978.

3. M. P. Drazin, Pseudo-inverse in associative rings and semigroups, Amer. Math. Monthly 65 (1958) 506-514.

4. R. Harte, Invertibility and Singularity for Bounded Linear Operators, Marcel Dekker, New York, 1988.

5. C. F. King, A note on Drazin inverses, Pacific J. Math. 70 (1977) 383-390.

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