Randomized versions of Mazur lemma and Krein-Smulian theorem

2014/11/23 by Zapata, Jose Miguel
#FOS: Economics and business #FOS: Mathematics #Functional Analysis (math.FA) #Risk Management (q-fin.RM)

paper · doi:10.48550/arxiv.1411.6256

Abstract

We extend to the framework of locally L⁰-convex modules some results from classical convex analysis. Namely, randomized versions of Mazur lemma and Krein-Smulian theorem under mild stability properties are provided.

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