ARENS REGULARITY OF SOME BILINEAR MAPS

Let H be a Hilbert space. we show that the following statements are equivalent: (a) B(H) is finite dimension, (b) every left Banach module action l : B(H)×H → H, is Arens regular (c) every bilinear map f : B(H)*→ B(H) is Arens regular. Indeed we show that a Banach space X is refl...

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Autor principal:	GORDJI,M. ESHAGHI
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2009
Materias:	Banach algebra Bilinear map Arens products
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100002
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spelling	oai:scielo:S0716-091720090001000022009-07-01ARENS REGULARITY OF SOME BILINEAR MAPSGORDJI,M. ESHAGHI Banach algebra Bilinear map Arens products Let H be a Hilbert space. we show that the following statements are equivalent: (a) B(H) is finite dimension, (b) every left Banach module action l : B(H)×H → H, is Arens regular (c) every bilinear map f : B(H)→ B(H) is Arens regular. Indeed we show that a Banach space X is reflexive if and only if every bilinear map f : X × X → X* is Arens regular.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.28 n.1 20092009-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100002en10.4067/S0716-09172009000100002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Banach algebra Bilinear map Arens products
spellingShingle	Banach algebra Bilinear map Arens products GORDJI,M. ESHAGHI ARENS REGULARITY OF SOME BILINEAR MAPS
description	Let H be a Hilbert space. we show that the following statements are equivalent: (a) B(H) is finite dimension, (b) every left Banach module action l : B(H)×H → H, is Arens regular (c) every bilinear map f : B(H)→ B(H) is Arens regular. Indeed we show that a Banach space X is reflexive if and only if every bilinear map f : X × X → X* is Arens regular.
author	GORDJI,M. ESHAGHI
author_facet	GORDJI,M. ESHAGHI
author_sort	GORDJI,M. ESHAGHI
title	ARENS REGULARITY OF SOME BILINEAR MAPS
title_short	ARENS REGULARITY OF SOME BILINEAR MAPS
title_full	ARENS REGULARITY OF SOME BILINEAR MAPS
title_fullStr	ARENS REGULARITY OF SOME BILINEAR MAPS
title_full_unstemmed	ARENS REGULARITY OF SOME BILINEAR MAPS
title_sort	arens regularity of some bilinear maps
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2009
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000100002
work_keys_str_mv	AT gordjimeshaghi arensregularityofsomebilinearmaps
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ARENS REGULARITY OF SOME BILINEAR MAPS

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