Convergence of Weak*-Scalarly Integrable Functions

Author:

Sabiri Noureddine,Guessous Mohamed

Abstract

Let (Ω,F,μ) be a complete probability space, E a separable Banach space and E′ the topological dual vector space of E. We present some compactness results in LE′1E, the Banach space of weak*-scalarly integrable E′-valued functions. As well we extend the classical theorem of Komlós to the bounded sequences in LE′1E.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference17 articles.

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Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Permutation-invariance in Komlós type theorem for non-negative random variables;Indagationes Mathematicae;2023-05

2. Pettis Integrability in L1E′ [E] Related to the Truncation;European Journal of Pure and Applied Mathematics;2022-10-31

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