Shechter spectra and relatively demicompact linear relations
Commun. Korean Math. Soc.
Published online January 3, 2020
Aymen ammar, Slim Fakhfakh, and Aref Jeribi
Université de Sfax Faculté des sciences de Sfax
Abstract : In this paper, we denote by L the block matrix linear relation, acting
on the Banach space X ⊕ Y , of the form
L =

C D 
where A, B, C and D are four linear relations with dense domains. We first
try to determine the conditions under which a block matrix linear relation
becomes a demicompact block matrix linear relation (see Theorems 4.1 and
Second, , we study Shechter spectra using demicompact linear relations and
relatively demicompact linear relations. (see Theorems 5.1 ).
Keywords : : linear relations - relatively demicompact linear relation- demicompact block matrix linear relation
MSC numbers : 47A06
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