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Complemented ideals in the Fourier algebra of a locally compact group
Author(s):
Peter
J.
Wood
Journal:
Proc. Amer. Math. Soc.
128
(2000),
445-451.
MSC (2000):
Primary 46J20, 46L07;
Secondary 43A30, 46H25
Posted:
October 12, 1999
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Abstract:
In this paper we provide a necessary condition for a closed ideal in the Fourier algebra of a locally compact amenable group to be completely complemented. The classification of completely complemented ideals is completed in the case of an amenable discrete group. We also investigate the ideals possessing a bounded approximate identity.
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Additional Information:
Peter
J.
Wood
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Email:
pwood@barrow.uwaterloo.ca
DOI:
10.1090/S0002-9939-99-04989-8
PII:
S 0002-9939(99)04989-8
Keywords:
Fourier algebra,
operator spaces,
operator amenability,
complemented ideals,
bounded approximate identities
Received by editor(s):
August 18, 1996
Received by editor(s) in revised form:
March 10, 1998
Posted:
October 12, 1999
Communicated by:
Dale Alspach
Copyright of article:
Copyright
1999,
American Mathematical Society
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