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

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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.

Original languageEnglish
Pages (from-to)726-732
Number of pages7
JournalMathematical Notes of the Academy of Sciences of the USSR
Volume66
Issue number5-6
DOIs
StatePublished - 1999

Keywords

  • Amenability component
  • Amenable group
  • Locally compact group
  • Topologically left invariant mean

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