SHECHTER SPECTRA AND RELATIVELY DEMICOMPACT LINEAR RELATIONS

In this paper, we denote by L the block matrix linear relation, acting on the Banach space X ⊕ Y, of the form ${\mathcal{L}}=$\array{A&B\\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 rel...

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Veröffentlicht in:	Communications of the Korean Mathematical Society 2020, Vol.35 (2), p.499-516
Hauptverfasser:	Ammar, Aymen, Fakhfakh, Slim, Jeribi, Aref
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creator	Ammar, Aymen Fakhfakh, Slim Jeribi, Aref
description	In this paper, we denote by L the block matrix linear relation, acting on the Banach space X ⊕ Y, of the form ${\mathcal{L}}=$\array{A&B\\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 4.2). Second we study Shechter spectra using demicompact linear relations and relatively demicompact linear relations (see Theorem 5.1).
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title	SHECHTER SPECTRA AND RELATIVELY DEMICOMPACT LINEAR RELATIONS
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