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