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has been cited by the following article:

• 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.