Amenability and the Extension Property

DOI: 10.4236/am.2014.519279   PDF   HTML   XML   2,752 Downloads   3,073 Views  

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.

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Derighetti, A. (2014) Amenability and the Extension Property. Applied Mathematics, 5, 2945-2951. doi: 10.4236/am.2014.519279.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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http://dx.doi.org/10.1007/BF01292767

  
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