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

页码：1099 / 1116

页数：18

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