Convergence of Weak*-Scalarly Integrable Functions

被引：3
|
作者：
Sabiri, Noureddine [1 ]
Guessous, Mohamed [1 ]
机构：
[1] Hassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Algebra Anal & Applicat L3A, Ave Driss Harti Sidi Othman,BP 7955, Casablanca 7955, Morocco
来源：
AXIOMS | 2020年 / 9卷 / 03期
关键词：
weak*-scalarly integrable functions; compactness; komlos theorem; COMPACTNESS;
D O I：
10.3390/axioms9030112
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (Omega,F,mu)be a complete probability space,Ea separable Banach space andE ' the topological dual vector space ofE. We present some compactness results in L-E '(1)[E], the Banach space of weak*-scalarly integrable E '-valued functions. As well we extend the classical theorem of Komlos to the bounded sequences in L-E '(1)[E].
引用
收藏
页数：8
相关论文
共 50 条
12345