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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 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
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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
Bibliographic databases:
Document Type: Article
UDC: 512.546.3
MSC: 22D10, 46E30
Language: English
Citation: Ya. A. Kopylov, “An $L_p$-criterion of amenability for a locally compact group”, Sib. Èlektron. Mat. Izv., 2 (2005), 186–189
Citation in format AMSBIB
\Bibitem{Kop05}
\by Ya.~A.~Kopylov
\paper An $L_p$-criterion of amenability for a~locally compact group
\jour Sib. \`Elektron. Mat. Izv.
\yr 2005
\vol 2
\pages 186--189
\mathnet{http://mi.mathnet.ru/semr38}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2177991}
\zmath{https://zbmath.org/?q=an:1096.43001}
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