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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2005, Volume 2, Pages 186–189
(Mi semr38)
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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 $L_p(G)$.
Received October 7, 2005, published October 13, 2005
Citation:
Ya. A. Kopylov, “An $L_p$-criterion of amenability for a locally compact group”, Sib. Èlektron. Mat. Izv., 2 (2005), 186–189
Linking options:
https://www.mathnet.ru/eng/semr38 https://www.mathnet.ru/eng/semr/v2/p186
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