Title : ( Arens regularity of module actions and the second adjoint of a derivation )
Authors: somayeh mohammadzadeh , Hamid Reza Ebrahimi 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.
Keywords
, Arens product, bounded bilinear map, Banach module action, derivation, module action, second dual
@article{paperid:1007773,
author = {Mohammadzadeh, Somayeh and Ebrahimi Vishki, Hamid Reza},
title = {Arens regularity of module actions and the second adjoint of a derivation},
journal = {Bulletin of Australian Mathematical Society},
year = {2008},
number = {77},
month = {May},
issn = {0004-9727},
pages = {465--476},
numpages = {11},
keywords = {Arens product; bounded bilinear map; Banach module action; derivation;
module action; second dual},
}
%0 Journal Article
%T Arens regularity of module actions and the second adjoint of a derivation
%A Mohammadzadeh, Somayeh
%A Ebrahimi Vishki, Hamid Reza
%J Bulletin of Australian Mathematical Society
%@ 0004-9727
%D 2008
