Uniformly complete quotient space UCQ(G) and completely isometric representations of UCQ(G)‡ on B(L 2(G))

Ana Maria Popa, Zhong Jin Ruan

Research output: Contribution to journalArticle

Abstract

The uniformly complete quotient space UCQ(G) of a locally compact group G is introduced. It is shown that the operator space dual UCQ(G)* is a completely contractive Banach algebra, which contains the completely bounded Fourier multiplier algebra M cbA(G) as a completely contractively complemented Banach subalgebra. A natural completely isometric representation of UCQ(G)* on B(L 2(G)) is studied and some equivalent amenability conditions associated with UCQ(G) are proved.

Original languageEnglish (US)
Pages (from-to)1223-1235
Number of pages13
JournalProceedings of the American Mathematical Society
Volume134
Issue number4
DOIs
StatePublished - Apr 1 2006

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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