Amenability and the Extension Property

Antoine Derighetti

EPFL SB-DO, MA A1 354, Station 8, CH-1015 Lausanne, Switzerland.

DOI: 10.4236/am.2014.519279                

Abstract

Let G be a locally compact group, H a closed amenable subgroup and u an element of the Herz Figà-Talamanca algebra of H with compact support, we prove the existence of an extension of u to G, with a good control of the norm and of the support of the extension.

Keywords

Convolution Operators, Locally Compact Groups, Abstract Harmonic Analysis, Amenable Groups

Conflicts of Interest

The authors declare no conflicts of interest.

References

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