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// Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
// Archive
Sib. Èlektron. Mat. Izv.,
2005
Volume 2,
Pages
186–189
(Mi semr38)
Short communications
An
$L_p$
-criterion of amenability for a locally compact group
Ya. A. Kopylov
Sobolev Institute of Mathematics, Novosibirsk, Russia
Abstract:
We establish a criterion of amenability for a subgroup
$H$
of a second countable locally compact topological group
$G$
in terms of the left regular representation of
$H$
in
$L_p(G)$
.
UDC:
512.546.3
MSC:
22D10
,
46E30
Received
October 7, 2005
, published
October 13, 2005
Language:
English
Fulltext:
PDF file (132 kB)
References
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