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arXiv · 0711.1621

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

S. Mohammadzadeh·H. R. E. Vishki
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Abstract

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.

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S. Mohammadzadeh, H. R. E. Vishki. 2007-11-10. Arens Regularity of Module Actions and the Second Adjoit of a Derivation. https://arxiv.org/abs/0711.1621

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