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Best bounds for approximate identities in ideals of the Fourier algebra vanishing on subgroups |
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| Authors: | Brian Forrest Nicolaas Spronk |
| Affiliation: | Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 ; Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 |
| 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. |
| Keywords: | Fourier algebra ideal bounded approximate identity operator space |
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