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

Pseudo-generalized inverse I

Published:2022 Issue:8 Volume:36 Page:2551-2572
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, Monastir, Tunisia

Abstract

The purpose of this paper is to introduce and study a new class of operators that we call pseudogeneralized invertible operators. This class includes both the class of generalized invertible operators and the class of Drazin invertible operators. Some results connected with ascent and essential ascent are also obtained for this new class. The relationship between pseudo-generalized invertible operators, semi-Fredholm operators and generalized invertible operators is explored.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference30 articles.

1. P. Aiena, Fredholm and Local Spectral Theory, With Applications to Multipliers, Springer, 2004.

2. A. Ben-Israel, T. N. E. Greville, Generalized Inverses : Theory and Applications, Second edition, Springer-Verlag, New York, 103, 2003.

3. F. J. Beutler, The operator Theory of the Pseudo-inverse. II Unbounded operators with arbitrary range, J. Math. Anal. Appl. 10 (1965) , 471-493.

4. K. P. S. Bhaskara Rao, The Theory of Generalized Inverses Over Commutative Rings, Taylor & Francis, 2002.

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

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