Strengthening of weak convergence for Radon measures in separable Banach spaces
Functional Analysis
2015-05-26 v1
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.
Keywords
Cite
@article{arxiv.1505.06235,
title = {Strengthening of weak convergence for Radon measures in separable Banach spaces},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1505.06235},
year = {2015}
}