On some classes of demicompact linear relation and some results of essential pseudospectra

Ammar, Aymen; Jeribi, Aref; Saadaoui, Bilel

doi:10.30970/ms.52.2.195-210

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2021

2022

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Cited by 7 publications

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“…The strong connection between linear relations and quotient range operators is well known and easily explained (see [37]). In [28] A. Ammar, A. Jeribi and B. Saadaoui studied some perturbation results and some relations between the essential pseudospectra of the sum of two multivalued linear operator and the essential pseudospectra of each of this multivalued linear operator.…”

Section: Introductionmentioning

confidence: 99%

Demicompactness, selection of linear relation and application to multivalued matrix

Ammar

Jeribi

Saadaoui

2022

Filomat

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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.

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Section: Introductionmentioning

confidence: 99%