$\mu$- Integrable Functions and Weak Convergence of Finite Measures

Abstract

This paper deals with functions that defined in metric spaces and valued in complete paranormed vector spaces or valued in Banach spaces, and obtains some necessary and sufficient conditions for weak convergence of finite measures.

arXiv commentWe generalize also the concept of convergence of random variables in probability distributions, to Paranormed vector spaces and to general Banach spaces