Noncommutative recurrence over locally compact Hausdorff groups

被引：6

作者：

de Beer, Richard ^{[1
]}

Duvenhage, Rocco ^{[1
]}

Stroeh, Anton ^{[1
]}

机构：

[1] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 322卷 / 01期

关键词：

recurrence; unital *-algebras; locally compact Hausdorff groups;

D O I：

10.1016/j.jmaa.2005.08.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend previous results on noncommutative recurrence in unital *-algebras over the integers to the case where one works over locally compact Hausdorff groups. We derive a generalization of Khintchine's recurrence theorem, as well as a form of multiple recurrence. This is done using the mean ergodic theorem in Hilbert space, via the GNS construction. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：66 / 74

页数：9

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