SOME PROPERTIES OF BOUNDED TRI-LINEAR MAPS

被引：0
|
作者：
Sheikhali, Abotaleb
Azar, Kazem Haghnejad
Ebadian, Ali
机构：
[1] Univ Mohaghegh Ardabili, Dept Math & Applicat, Ardebil, Iran
[2] Univ Urmia, Dept Math, Orumiyeh, Iran
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2021年 / 36卷 / 05期
关键词：
Arens product; Module action; Factors; Topological center and Tri-linear mappings; ARENS REGULARITY; TOPOLOGICAL CENTERS; MODULE ACTIONS;
D O I：
10.22190/FUMI210524080S
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X, Y, Z and W be normed spaces and f : X x Y x Z -> W be a bounded tri-linear mapping. In this manuscript, we introduce the topological centers of bounded tri-linear mapping and we invistagate their properties. We study the relationships between weakly compactenss of bounded linear mappings and regularity of bounded tri-linear mappings. We extend some factorization property for bounded trilinear mappings. We also establish the relations between regularity and factorization property of bounded tri-linear mappings.
引用
收藏
页码：1099 / 1116
页数：18
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