Strengthening of weak convergence for Radon measures in separable Banach spaces

2015/05/22 by E. Ostrovsky, Ostrovsky, E., L. Sirota +1
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1505.06235

openalex publication_date 2015/05/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We prove in this short report that for arbitrary weak converging sequence of sigma-finite Borelian measures in the separable Banach space there is a compact embedded separable subspace such that this measures not only are concentrated in this subspace but weak converge therein.

Citations

• Factorable continuity of random fields, with quantitative estimation

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