MEAN ERGODIC THEOREM FOR AMENABLE DISCRETE QUANTUM GROUPS AND A WIENER-TYPE THEOREM FOR COMPACT METRIZABLE GROUPS

被引：1

作者：

Huang, Huichi ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

ANALYSIS & PDE | 2016年 / 9卷 / 04期

基金：

欧洲研究理事会;

关键词：

mean ergodic theorem; coamenable compact quantum group; amenable discrete quantum group; continuous measure; AMENABILITY;

D O I：

10.2140/apde.2016.9.893

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a mean ergodic theorem for amenable discrete quantum groups. As an application, we prove a Wiener-type theorem for continuous measures on compact metrizable groups.

引用

页码：893 / 906

页数：14

共 16 条

[1] Continuous measures on compact Lie groups [J].

Anoussis, M ;

Bisbas, A .

ANNALES DE L INSTITUT FOURIER, 2000, 50 (04) :1277-+

[2]

Bédos E, 2001, J GEOM PHYS, V40, P130, DOI 10.1016/S0393-0440(01)00024-9

[3]

Björklund M, 2009, ANN I FOURIER, V59, P2169

[4] SCHWARZ INEQUALITY FOR POSITIVE LINEAR MAPS ON C-STAR-ALGEBRAS [J].

CHOI, MD .

ILLINOIS JOURNAL OF MATHEMATICS, 1974, 18 (04) :565-574

[5] A MEAN ERGODIC THEOREM FOR ACTIONS OF AMENABLE QUANTUM GROUPS [J].

Duvenhage, Rocco .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 78 (01) :87-95

[6]

Glasner E., 2003, Mathematical Surveys and Monographs, V101

[7]

Gromov M., 1993, MUNSTER J MATH, V2, P1

[8]

Katznelson Y., 2004, An Introduction to Harmonic Analysis, DOI DOI 10.1017/CBO9781139165372

[9] Amenability of Hopf von Neumann algebras and Kac algebras [J].

Ruan, ZJ .

JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 139 (02) :466-499

[10]

Rudin W., 1987, REAL COMPLEX ANAL

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