Geodesic
A ɡn -inverse of multivalued operators
Filomat, Tome 37 (2023) no. 27, p. 9229

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

For an everywhere defined closed linear relation in a Banach space the concept of n-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 n-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].
DOI : 10.2298/FIL2327229G
Classification : 47A06, 47A05, 47A53
Keywords: Linear relation, 11-inverse, 11-invertible, Semi-Fredholm relation 
Zied Garbouj; Haïkel Skhiri. A ɡn -inverse of multivalued operators. Filomat, Tome 37 (2023) no. 27, p. 9229 . doi: 10.2298/FIL2327229G
@article{10_2298_FIL2327229G,
     author = {Zied Garbouj and Ha{\"\i}kel Skhiri},
     title = {A ɡn -inverse of multivalued operators},
     journal = {Filomat},
     pages = {9229 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327229G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327229G/}
}
TY  - JOUR
AU  - Zied Garbouj
AU  - Haïkel Skhiri
TI  - A ɡn -inverse of multivalued operators
JO  - Filomat
PY  - 2023
SP  - 9229 
VL  - 37
IS  - 27
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2327229G/
DO  - 10.2298/FIL2327229G
LA  - en
ID  - 10_2298_FIL2327229G
ER  - 
%0 Journal Article
%A Zied Garbouj
%A Haïkel Skhiri
%T A ɡn -inverse of multivalued operators
%J Filomat
%D 2023
%P 9229 
%V 37
%N 27
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2327229G/
%R 10.2298/FIL2327229G
%G en
%F 10_2298_FIL2327229G

Cité par Sources :