Weak amenability components of L1(G)-modules, amenable groups, and an ergodic theorem

A. G. Myasnikov

doi:10.1007/bf02674330

Weak amenability components of L₁(G)-modules, amenable groups, and an ergodic theorem

A. G. Myasnikov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Weak versions of amenability components of Banach L₁(G)-modules are considered. Using these versions, a mean ergodic theorem for locally compact groups is formulated. The possibility of using weak amenability components of operator L₁(G) -modules to characterize amenable groups is studied.

Original language	English
Pages (from-to)	726-732
Number of pages	7
Journal	Mathematical Notes of the Academy of Sciences of the USSR
Volume	66
Issue number	5-6
DOIs	https://doi.org/10.1007/bf02674330
State	Published - 1999

Keywords

Amenability component
Amenable group
Locally compact group
Topologically left invariant mean

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10.1007/bf02674330

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abstract = "Weak versions of amenability components of Banach L1(G)-modules are considered. Using these versions, a mean ergodic theorem for locally compact groups is formulated. The possibility of using weak amenability components of operator L1(G) -modules to characterize amenable groups is studied.",

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AU - Myasnikov, A. G.

PY - 1999

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AB - Weak versions of amenability components of Banach L1(G)-modules are considered. Using these versions, a mean ergodic theorem for locally compact groups is formulated. The possibility of using weak amenability components of operator L1(G) -modules to characterize amenable groups is studied.

KW - Amenability component

KW - Amenable group

KW - Locally compact group

KW - Topologically left invariant mean

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UR - https://www.scopus.com/pages/publications/27544448020#tab=citedBy

U2 - 10.1007/bf02674330

DO - 10.1007/bf02674330

M3 - Article

AN - SCOPUS:27544448020

SN - 0001-4346

VL - 66

SP - 726

EP - 732

JO - Mathematical Notes of the Academy of Sciences of the USSR

JF - Mathematical Notes of the Academy of Sciences of the USSR

IS - 5-6

ER -

Weak amenability components of L₁(G)-modules, amenable groups, and an ergodic theorem

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Keywords

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