Best bounds for approximate identities in ideals of the Fourier algebra vanishing on subgroups

Authors :: Brian E. Forrest
Nicolaas Spronk
Source :: Proceedings of the American Mathematical Society. 134:111-116
Publication Year :: 2005
Publisher :: American Mathematical Society (AMS), 2005.
Abstract: In this paper we show that if G G is an amenable locally compact group and if H H is a closed subgroup, then the ideal I ( H ) I(H) has an approximate identity of norm 2. 2. If H H is not open, this bound is the best possible.

Subjects :: Algebra
Pure mathematics
Fourier algebra
Applied Mathematics
General Mathematics
Norm (mathematics)
Amenable group
MathematicsofComputing_GENERAL
Ideal (ring theory)
Locally compact group
Approximate identity
Operator space
Mathematics

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