Best bounds for approximate identities in ideals of the Fourier algebra vanishing on subgroups
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- by Brian Forrest and Nicolaas Spronk PDF
- Proc. Amer. Math. Soc. 134 (2006), 111-116 Request permission
Abstract:
In this paper we show that if $G$ is an amenable locally compact group and if $H$ is a closed subgroup, then the ideal $I(H)$ has an approximate identity of norm $2.$ If $H$ is not open, this bound is the best possible.References
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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
- MR Author ID: 671665
- Email: nspronk@uwaterloo.ca
- Received by editor(s): December 3, 2003
- Published electronically: 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 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 111-116
- MSC (2000): Primary 43A30, 46J20; Secondary 46L07, 43A07
- DOI: https://doi.org/10.1090/S0002-9939-05-08205-5
- MathSciNet review: 2170550