可测算子加权和的一些强极限定理

Pub Date : 2021-12-24 DOI:10.1142/s0219025721500223

N. V. Huan, N. Quang

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引用次数: 0

摘要

本文的目的是为可测算子的加权和提供一些强极限定理。考虑了近似一致收敛和双侧近似一致收敛。在不使用Kolmogorov不等式的非交换版本的情况下，我们得到了连续独立同分布可测算子序列的强大数定律。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some strong limit theorems for weighted sums of measurable operators

The aim of this study is to provide some strong limit theorems for weighted sums of measurable operators. The almost uniform convergence and the bilateral almost uniform convergence are considered. As a result, we derive the strong law of large numbers for sequences of successively independent identically distributed measurable operators without using the noncommutative version of Kolmogorov’s inequality.

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