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research article
An Extension Property For The Figa-Talamanca Herz Algebra
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.
Type
research article
Web of Science ID
WOS:000261153200027
Authors
Publication date
2009
Published in
Volume
137
Start page
1001
End page
1011
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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