Strengthening of weak convergence for Radon measures in separable Banach spaces
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keywords
measuresseparableweakbanachsubspacearbitraryboreliancompact
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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.
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