Arens Regularity of Module Actions and the Second Adjoit of a Derivation

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In this paper, first we give a simple criterion for the Arens regularity of a bilinear mapping on normed spaces, which applies in particular to Banach module actions and then we investigate those conditions under which the second adjoint of a derivation into a dual Banach module is again a derivation. As a consequence of the main result, a simple and direct proof for several older results is also included.
15 pages. To appear in Bull. Austral. Math. Soc

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Functional Analysis, 46H20; 46H25

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http://salesiana.dossiersoluciones.com/handle/123456789/141903

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1621
 http://arxiv.org/abs/0711.1621

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arXiv