Module amenability for Banach modules

We study the module amenability of Banach modules. This is a natural generalization of Johnsons amenability of Banach algebras. As an example we show that for a discrete abelian group G, l p(G) is amenable as an l¹(G)-module if and only if G is amenable, where l¹(G) is a Banach algebra with pointwi...

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Detalles Bibliográficos
Autores principales:	Ebrahimi Bagha,D, Amini,M
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
Materias:	Banach modules module amenability weak module amenability semigroupalgebra inverse semigroup
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200007
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spelling	oai:scielo:S0719-064620110002000072018-10-08Module amenability for Banach modulesEbrahimi Bagha,DAmini,M Banach modules module amenability weak module amenability semigroupalgebra inverse semigroup We study the module amenability of Banach modules. This is a natural generalization of Johnsons amenability of Banach algebras. As an example we show that for a discrete abelian group G, l p(G) is amenable as an l¹(G)-module if and only if G is amenable, where l¹(G) is a Banach algebra with pointwise multiplication.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.13 n.2 20112011-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200007en10.4067/S0719-06462011000200007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Banach modules module amenability weak module amenability semigroupalgebra inverse semigroup
spellingShingle	Banach modules module amenability weak module amenability semigroupalgebra inverse semigroup Ebrahimi Bagha,D Amini,M Module amenability for Banach modules
description	We study the module amenability of Banach modules. This is a natural generalization of Johnsons amenability of Banach algebras. As an example we show that for a discrete abelian group G, l p(G) is amenable as an l¹(G)-module if and only if G is amenable, where l¹(G) is a Banach algebra with pointwise multiplication.
author	Ebrahimi Bagha,D Amini,M
author_facet	Ebrahimi Bagha,D Amini,M
author_sort	Ebrahimi Bagha,D
title	Module amenability for Banach modules
title_short	Module amenability for Banach modules
title_full	Module amenability for Banach modules
title_fullStr	Module amenability for Banach modules
title_full_unstemmed	Module amenability for Banach modules
title_sort	module amenability for banach modules
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2011
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200007
work_keys_str_mv	AT ebrahimibaghad moduleamenabilityforbanachmodules AT aminim moduleamenabilityforbanachmodules
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Module amenability for Banach modules

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