非交换Wiener-Wintner型遍历定理

IF 0.7 3区数学 Q2 MATHEMATICS

Studia Mathematica Pub Date : 2021-06-16 DOI:10.4064/sm211209-26-8

Morgan O'Brien

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引用次数: 1

摘要

在本文中，我们得到了一个适用于证明W1空间中权的Wiener-Wintner型结果的非对易Banach原理的版本。这用于获得某些类型的正Dunford-Schwartz算子的各种类型的权的非对易Wiener-Wintner型遍历定理。我们还研究了这类算子的一些次序列平均值和移动平均值的b.a.u.（a.u.）收敛性。

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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Noncommutative Wiener–Wintner type ergodic theorems

. In this article, we obtain a version of the noncommutative Banach Principle suitable to prove Wiener-Wintner type results for weights in W 1 space. This is used to obtain noncommutative Wiener-Wintner type ergodic theorems for various types of weights for certain types of positive Dunford-Schwartz operators. We also study the b.a.u. (a.u.) convergence of some subsequential averages and moving averages of such operators.

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来源期刊

Studia Mathematica 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

5 months

期刊介绍： The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.