ARENS REGULARITY OF MODULE ACTIONS AND THE SECOND ADJOINT OF A DERIVATION
ARENS REGULARITY OF MODULE ACTIONS AND THE SECOND ADJOINT OF A DERIVATION
复制标题
模作用的ARENS正则性及导数的二阶伴随
DOI：
10.1017/s0004972708000403
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发表时间：
2007
影响因子：
0.7
通讯作者：
H. R. E. Vishki
中科院分区：
文献类型：
--
作者：
S. Mohammadzadeh;H. R. E. Vishki
本文给出了赋范空间上双线性映射的Arens正则性的一个简单判据，它特别适用于Banach模作用，然后研究了导子到对偶Banach模的第二伴随又是导子的条件。作为主要结果的一个结果，一个简单而直接的证明几个旧的结果也包括在内。
Abstract In this paper, 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 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.