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:: Volume 7, Issue 2 (Vol.7, No. 2, Summer 2021) ::
mr 2021, 7(2): 347-352 Back to browse issues page
On the Lattice Structure of the Space of all Bochner Integrable Banach Lattice-Valued Functions
Omid Zabeti
Department of mathematics, University of Sistan and Baluchestan, Zahedan, Iran , o.zabeti@gmail.com
Abstract:   (153 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
Keywords: Bochner integral, KB-space, Fatou property, Banach lattice.
Full-Text [PDF 333 kb]   (30 Downloads)    
Type of Study: S | Subject: alg
Received: 2019/10/10 | Accepted: 2019/12/28 | Published: 2021/09/1 | ePublished: 2021/09/1
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Zabeti O. On the Lattice Structure of the Space of all Bochner Integrable Banach Lattice-Valued Functions. mr. 2021; 7 (2) :347-352
URL: http://mmr.khu.ac.ir/article-1-3011-en.html


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Volume 7, Issue 2 (Vol.7, No. 2, Summer 2021) Back to browse issues page
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