On the Ergodic Theorem for Affine Actions on Hilbert Space

被引：1

|

作者：

Chifan, Ionut ^{[1
,2
]}

Sinclair, Thomas ^{[3
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] IMAR, Bucharest, Romania

[3] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2015年 / 22卷 / 03期

基金：

美国国家科学基金会;

关键词：

affine action; mean ergodic theorem; groups of polynomial growth; POLYNOMIAL-GROWTH; RANDOM-WALKS; COHOMOLOGY;

D O I：

10.36045/bbms/1442364590

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The note establishes a new weak mean ergodic theorem (Theorem A) for 1-cocycles associated to weakly mixing representations of amenable groups.

引用

收藏

页码：429 / 446

页数：18

相关论文

共 50 条

[21] UNIPOTENT ACTIONS ON AFFINE SPACE
SNOW, DM
TOPOLOGICAL METHODS IN ALGEBRAIC TRANSFORMATION GROUPS, 1989, 80 : 165 - 176
[22] AFFINE CONNECTION IN HILBERT-SPACE
EPSTEIN, KJ
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1976, 15 (10) : 793 - 799
[23] DIVERGENCE THEOREM FOR HILBERT SPACE
GOODMAN, V
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 164 (NFEB) : 411 - &
[24] A MEAN ERGODIC THEOREM FOR ACTIONS OF AMENABLE QUANTUM GROUPS
Duvenhage, Rocco
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 78 (01) : 87 - 95
[25] A horospherical ratio ergodic theorem for actions of free groups
Bowen, Lewis
Nevo, Amos
GROUPS GEOMETRY AND DYNAMICS, 2014, 8 (02) : 331 - 353
[26] On the generalization of the Riesz-Zygmund theorem for the ergodic Hilbert transform
Ephremidze, Lasha
Sato, Ryotaro
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2007, 27 : 113 - 122
[27] On the generalization of the Stein-Weiss theorem for the ergodic Hilbert transform
Ephremidze, L
STUDIA MATHEMATICA, 2003, 155 (01) : 67 - 75
[28] Bernstein’s theorem in affine space
B. Huber
B. Sturmfels
Discrete & Computational Geometry, 1997, 17 : 137 - 141
[29] Bernstein's theorem in affine space
Huber, B
Sturmfels, B
DISCRETE & COMPUTATIONAL GEOMETRY, 1997, 17 (02) : 137 - 141
[30] Bernstein's Theorem in Affine Space
Discrete Comput Geom, 2 (137):

← 1 2 3 4 5 →