SOME PROPERTIES OF BOUNDED TRI-LINEAR MAPS

Abotaleb Sheikhali, Kazem Haghnejad Azar, Ali Ebadian

DOI Number
https://doi.org/10.22190/FUMI210524080S
First page
1099
Last page
1116

Abstract


Let $X,Y,Z$ and $W$ be normed spaces and $f:X\times Y\times Z\longrightarrow 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 tri-linear mappings. We also establish the relations between regularity and factorization property of bounded tri-linear mappings.

Keywords

Arens product, Module action, Factors, Topological center and Tri-linear mappings

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References


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DOI: https://doi.org/10.22190/FUMI210524080S

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