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Amenability and the Extension Property
EPFL SB-DO, MA A1 354, Station 8, CH-1015 Lausanne, Switzerland
- 1 EPFL SB-DO, MA A1 354, Station 8, CH-1015 Lausanne, Switzerland
Applied Mathematics·Volume 05 (2014)·Pages 2945–2951·Published 4 November 2014·DOI10.4236/am.2014.519279
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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.
KeywordsConvolution OperatorsLocally Compact GroupsAbstract Harmonic AnalysisAmenable Groups
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