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Arens regularity of some bilinear maps

dc.creatorGordji, M. Eshaghies
dc.date2009-05-01
dc.date.accessioned2025-10-06T15:05:05Z
dc.date.available2025-10-06T15:05:05Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1381
dc.identifier10.4067/S0716-09172009000100002
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/255512
dc.descriptionLet 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.es
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.en
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1381/1183
dc.rightsCopyright (c) 2009 Proyecciones. Journal of Mathematicsen
dc.sourceProyecciones (Antofagasta); Vol. 28 No. 1 (2009); 21-26en
dc.sourceProyecciones. Revista de Matemática; Vol. 28 Núm. 1 (2009); 21-26es
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2009
dc.titleArens regularity of some bilinear mapses
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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