On the Lattice Structure of the Space of all Bochner Integrable Banach Lattice-Valued Functions

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 orde...

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Bibliographic Details
Main Author: Omid Zabeti
Format: Article
Language:fas
Published: Kharazmi University 2021-09-01
Series:پژوهش‌های ریاضی
Subjects:
Online Access:http://mmr.khu.ac.ir/article-1-3011-en.html