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Research Article Open access CC BY 4.0

Extensions of the Lusin's Theorem, the Severini-Egorov's Theorem and the Riesz Subsequence Theorems

Mangatiana A. Robdera

Asian Research Journal of Mathematics · pp. 1–9 · Published 14 Oct 2016

10.9734/ARJOM/2016/29547

Abstract

We give extensions of the Lusin's Theorem, the Severini-Egorov's Theorem, and the Riesz Subsequence Theorems to the setting of a non-additive vector valued set functions and sequences of functions taking values in general metric spaces.

Convergence theorems Lusin's theorem Severini-Egorov's theorem Borel Cantelli's Lemma Riesz subsequence theorems vector valued set functions

Cited by 2

A Unified Approach to Integration Theory

M. Robdera · International Journal of Applied Physics and Mathematics · 2019

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