TITLE:
Amenability and the Extension Property
AUTHORS:
Antoine Derighetti
KEYWORDS:
Convolution Operators, Locally Compact Groups, Abstract Harmonic Analysis, Amenable Groups
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.19,
November
5,
2014
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.