Fredholm theory for demicompact linear relations

Autor: Aymen Ammar, Slim Fakhfakh, Aref Jeribi
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Applied General Topology, Vol 23, Iss 2, Pp 425-436 (2022)
Druh dokumentu: article
ISSN: 1576-9402
1989-4147
DOI: 10.4995/agt.2022.16940
Popis: We first attempt to determine conditions on a linear relation T such that μT becomes a demicompact linear relation for each μ ∈ [0,1)(see Theorems 2.4 and 2.5). Second, we display some results on Fredholm and upper semi-Fredholm linear relations involving a demicompact one(see Theorems 3.1 and 3.2). Finally, we provide some results in which a block matrix of linear relations becomes a demicompact block matrix of linear relations (see Theorems 4.2 and 4.3).
Databáze: Directory of Open Access Journals