Some characterizations of L-weakly compact sets using the unbounded absolute weak convergence and applications

Abstract Based on the concept of unbounded absolute weak convergence, we give new characterizations of L-weakly compact sets. As applications, we find new properties of some classes of operators. Also, new characterizations of order continuous Banach lattices are obtained.

Gespeichert in:
Autor*in:

El Fahri, K. [verfasserIn]

Khabaoui, H.

H’michane, J.

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2022

Schlagwörter:

L-weakly compact sets

Order continuous Banach lattices

Unbounded absolute weak convergence

Order weakly compact operators

Anmerkung:

© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022

Übergeordnetes Werk:

Enthalten in: Positivity - Cham (ZG) : Springer International Publishing AG, 1997, 26(2022), 3 vom: 23. Apr.

Übergeordnetes Werk:

volume:26 ; year:2022 ; number:3 ; day:23 ; month:04

Links:

Volltext

DOI / URN:

10.1007/s11117-022-00912-2

Katalog-ID:

SPR046827714

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