Some properties of b-weakly compact operators on Banach lattices

Autor: Kazem Haghnejad azar, Akbar Bahramnezhad
Jazyk: perština
Rok vydání: 2021
Předmět:
Zdroj: پژوهش‌های ریاضی, Vol 7, Iss 4, Pp 727-734 (2021)
Druh dokumentu: article
ISSN: 2588-2546
2588-2554
Popis: In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space . We show that every weakly compact operator from a Banach lattice into a Banach space is b-weakly compact and give a counterexample which shows that the inverse is not true but we prove that under some conditions the inverse is holds.
Databáze: Directory of Open Access Journals