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Best bounds for approximate identities in ideals of the Fourier algebra vanishing on subgroups
Author(s):
Brian
Forrest;
Nicolaas
Spronk
Journal:
Proc. Amer. Math. Soc.
134
(2006),
111-116.
MSC (2000):
Primary 43A30, 46J20;
Secondary 46L07, 43A07
Posted:
August 15, 2005
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Abstract:
In this paper we show that if  is an amenable locally compact group and if  is a closed subgroup, then the ideal  has an approximate identity of norm  If  is not open, this bound is the best possible.
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Additional Information:
Brian
Forrest
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Email:
beforres@math.uwaterloo.ca
Nicolaas
Spronk
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Email:
nspronk@uwaterloo.ca
DOI:
10.1090/S0002-9939-05-08205-5
PII:
S 0002-9939(05)08205-5
Keywords:
Fourier algebra,
ideal,
bounded approximate identity,
operator space
Received by editor(s):
December 3, 2003
Posted:
August 15, 2005
Additional Notes:
The first author was supported in part by a grant from NSERC. The second author was a visiting assistant professor at Texas A&M University when this work was completed and was supported in part by an NSERC PDF
Communicated by:
David R. Larson
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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