Volume 7, Issue 4 (Vol. 7,No. 4, 2021)
mmr 2021, 7(4): 727-734 |
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Haghnejad azar K, Bahramnezhad A. Some properties of b-weakly compact operators on Banach lattices. mmr 2021; 7 (4) :727-734
URL: http://mmr.khu.ac.ir/article-1-2854-en.html
URL: http://mmr.khu.ac.ir/article-1-2854-en.html
1- Departement of Mathematics , haghnejad@uma.ac.ir
2- Departement of Mathematics
2- Departement of Mathematics
Abstract: (1318 Views)
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.
Type of Study: Original Manuscript |
Subject:
alg
Received: 2018/10/14 | Revised: 2023/06/18 | Accepted: 2019/02/17 | Published: 2020/01/28 | ePublished: 2020/01/28
Received: 2018/10/14 | Revised: 2023/06/18 | Accepted: 2019/02/17 | Published: 2020/01/28 | ePublished: 2020/01/28
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