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Weak amenability and the second dual of the Fourier algebra
Author(s):
Brian
Forrest
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2373-2378.
MSC (1991):
Primary 46H20;
Secondary 43A20
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Abstract:
Let  be a locally compact group. We will consider amenability and weak amenability for Banach algebras which are quotients of the second dual of the Fourier algebra. In particular, we will show that if  is weakly amenable, then  has no infinite abelian subgroup.
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Additional Information:
Brian
Forrest
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
DOI:
10.1090/S0002-9939-97-03844-6
PII:
S 0002-9939(97)03844-6
Keywords:
Fourier algebra,
second dual,
weakly amenable Banach algebra
Received by editor(s):
June 5, 1995
Received by editor(s) in revised form:
February 26, 1996
Communicated by:
Theodore W. Gamelin
Copyright of article:
Copyright
1997,
American Mathematical Society
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