ARENS REGULARITY OF BILINEAR MAPS AND BANACH MODULE ACTIONS

被引：0
|
作者：
Sahleh, A. [1 ]
Najarpisheh, L. [1 ]
机构：
[1] Univ Guilan, Fac Math Sci, POB 1914, Rasht, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 02期
关键词：
Banach algebra; bilinear map; Arens product; second dual; Banach module action; IRREGULARITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X, Y and Z be Banach spaces and let f : X x Y -> Z be a bounded bilinear map. In this paper we study the relation between Arens regularity of f and the reflexivity of Y. We also give some conditions under which the Arens regularity of a Banach algebra A implies the Arens regularity of certain Banach right module action of A.
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页码：285 / 289
页数：5
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