Some results of fredholm perturbations of multivalued linear operator in normed spaces-Reference-Cited by-同舟云学术

Some results of fredholm perturbations of multivalued linear operator in normed spaces

Published:2023 Issue:5 Volume:37 Page:1399-1408
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ammar Aymen¹,Ezzadam Aicha¹,Jeribi Aref¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

Abstract

In the present paper, we establish first the relation between the perturbation of upper Fredholm and strictly singular, and then the relation between lower semi-Fredholm and strictly cosingular linear relations. Most importantly in Theorem 3.4, we show that P(F?(X,Y)) coincides with SC(X,Y).We bring to light, the relationship between the essential spectra of a multivalued linear operator and its selection

Publisher

National Library of Serbia

Subject

General Mathematics

Reference11 articles.

1. F. Abdmouleh and A. Jeribi, Gustafon, Weidman, Kato, Wolf, Schechter, Browder, Rakočevié and Schmoeger essential spectra of the sum of two bounded operators and application to a transport operator. Math. Nachr. 284(2-3), 166-176 (2011).

2. T. Álvarez, A. Ammar and A. Jeribi, A Characterization of some subsets of S-essential spectra of a multivalued linear operator. Colloq. Math. 135, no. 2, 171-186 (2014).

3. A. Ammar, T. Diagana and A. Jeribi, Perturbations of Fredholm linear relations in Banach spaces with application to 3 × 3-block matrices of linear relations. Arab journal of mathematical sciences volume 22, issue 1, 59-76 (2015).

4. A. Ammar and A. Jeribi, Spectral Theory of Multivalued Linear Operators. Apple Academic Press, (2021).

5. A. Ammar, A. Jeribi and N. Moalla, A note on the spectra of a 3 × 3 operator matrix and application. Ann. Funct. Anal. 4, no. 2, 95-112 (2013).