Publication

An Extension Property For The Figa-Talamanca Herz Algebra

Christian Fiorillo
2009
Journal Articles

Abstract

Let G be a locally compact group and H a closed amenable subgroup of G. We prove that every element in A(p)(H) with compact support can be extended to an element of A(p)(G) of which we control the norm and support. The result is new even for the Fourier algebra. Our approach gives us new results concerning the operator norm closure of the convolution operators of G with compact support.

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An Extension Property For The Figa-Talamanca Herz Algebra

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