Volume 7, Issue 2 (Vol.7, No. 2, 2021)
mmr 2021, 7(2): 347-352 |
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Zabeti O. On the Lattice Structure of the Space of all Bochner Integrable Banach Lattice-Valued Functions. mmr 2021; 7 (2) :347-352
URL: http://mmr.khu.ac.ir/article-1-3011-en.html
URL: http://mmr.khu.ac.ir/article-1-3011-en.html
Department of mathematics, University of Sistan and Baluchestan, Zahedan, Iran , o.zabeti@gmail.com
Abstract: (1398 Views)
Suppose 
is a finite measure space, E is a Banach lattice, and
is the space of all Bochner integrable E valued functions. In this note, we show that
is a KB-space or has the sequential Fatou property if and only if so is E Among this, some results about Bochner integral convergence in 
using order structure of, have been proved, as well../files/site1/files/72/13Abstract.pdf
is a finite measure space, E is a Banach lattice, and is the space of all Bochner integrable E valued functions. In this note, we show that is a KB-space or has the sequential Fatou property if and only if so is E Among this, some results about Bochner integral convergence in using order structure of, have been proved, as well../files/site1/files/72/13Abstract.pdf
Type of Study: S |
Subject:
alg
Received: 2019/10/10 | Revised: 2021/08/8 | Accepted: 2019/12/28 | Published: 2021/09/1 | ePublished: 2021/09/1
Received: 2019/10/10 | Revised: 2021/08/8 | Accepted: 2019/12/28 | Published: 2021/09/1 | ePublished: 2021/09/1
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