Geodesic
Demicompactness, selection of linear relation and application to multivalued matrix
Filomat, Tome 36 (2022) no. 7, p. 2215

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DOI

In this paper, we investigate the concept of demicompactness and we establish some new results in Fredholm theory connected with the existence of selections of a given linear relation and we explore the possibility of finding a selection demicompact for some linear relation demicompact. Moreover, we give the relationship of the resolvent set between the linear relation with its selection. Furthermore, we give an application to matrix linear relation.
DOI : 10.2298/FIL2207215A
Classification : 47A06
Keywords: Selection, demicompact, Fredholm linear relation, Fredholm perturbation, essential spectra 
Aymen Ammar; Aref Jeribi; Bilel Saadaoui. Demicompactness, selection of linear relation and application to multivalued matrix. Filomat, Tome 36 (2022) no. 7, p. 2215 . doi: 10.2298/FIL2207215A
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     title = {Demicompactness, selection of linear relation and application to multivalued matrix},
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     doi = {10.2298/FIL2207215A},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2207215A/}
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