Riesz空间中Cesàro均值收敛的一个Koopman-von Neumann型定理

Proceedings of the American Mathematical Society, Series B Pub Date : 2021-02-10 DOI:10.1090/BPROC/75

Jonathan Homann, Wen-Chi Kuo, B. Watson

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引用次数: 3

摘要

将Cesàro均值上的Koopman-von Neumann收敛条件推广到具有弱阶单元的Dedekind完备Riesz空间。因此，在Riesz空间中给出了条件弱混合的表征。结果应用于l1l ^1的收敛。

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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A Koopman-von Neumann type theorem on the convergence of Cesàro means in Riesz spaces

We extend the Koopman-von Neumann convergence condition on the Cesàro mean to the context of a Dedekind complete Riesz space with weak order unit. As a consequence, a characterisation of conditional weak mixing is given in the Riesz space setting. The results are applied to convergence in L 1 L^1 .

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来源期刊

Proceedings of the American Mathematical Society, Series B

CiteScore

1.60

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0.00%

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