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Biflatness and Pseudo-Amenability of Segal Algebras
  Published:2010-05-20
 Printed: Aug 2010
Canadian Journal of Mathematics
  • Ebrahim Samei,
    Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK
  • Nico Spronk,
    Department of Pure Mathematics, University of Waterloo, Waterloo, ON
  • Ross Stokke,
    Department of Mathematics and Statistics, University of Winnipeg, Winnipeg MB
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Abstract

We investigate generalized amenability and biflatness properties of various (operator) Segal algebras in both the group algebra, $L^1(G)$, and the Fourier algebra, $A(G)$, of a locally compact group~$G$.
Keywords: Segal algebra, pseudo-amenable Banach algebra, biflat Banach algebra Segal algebra, pseudo-amenable Banach algebra, biflat Banach algebra
MSC Classifications: 43A20, 43A30, 46H25, 46H10, 46H20, 46L07 show english descriptions $L^1$-algebras on groups, semigroups, etc.
Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
Ideals and subalgebras
Structure, classification of topological algebras
Operator spaces and completely bounded maps [See also 47L25] 43A20 - $L^1$-algebras on groups, semigroups, etc.
43A30 - Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
46H25 - Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
46H10 - Ideals and subalgebras
46H20 - Structure, classification of topological algebras
46L07 - Operator spaces and completely bounded maps [See also 47L25]
 
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