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On the strong law of large numbers and -convergence for double arrays of random elements in p-uniformly smooth Banach spaces

By Nguyen Van Quang and Nguyen Van Huan

Abstract

The aim of this paper is to establish some strong laws of large numbers and -convergence for double arrays of random elements in p-uniformly smooth Banach spaces. We also provide a new characterization of p-uniformly smooth Banach spaces in terms of a strong law of large numbers for double arrays.

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