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.

引用

页码：285 / 289

页数：5

共 7 条

[1] THE ADJOINT OF A BILINEAR OPERATION [J].