THE BSE PROPERTY FOR SOME VECTOR-VALUED BANACH FUNCTION ALGEBRAS  

作　　者：Fatemeh ABTAHI Ali REJALI Farshad SAYAF 

机构地区：[1]Department of Pure Mathematics,Faculty of Mathematics and Statistics,University of Isfahan,Isfahan,81746-73441,Iran

出　　处：《Acta Mathematica Scientia》2024年第5期1945-1954,共10页数学物理学报（B辑英文版）

摘　　要：In this paper,X is a locally compact Hausdorff space and A is a Banach algebra.First,we study some basic features of C0(X,A)related to BSE concept,which are gotten from A.In particular,we prove that if C0(X,A)has the BSE property then A has so.We also establish the converse of this result,whenever X is discrete and A has the BSE-norm property.Furthermore,we prove the same result for the BSE property of type I.Finally,we prove that C0(X,A)has the BSE-norm property if and only if A has so.

关 键 词：BSE algebras BSE-function BSE norm multiplier algebra SEMISIMPLE without order 

分 类 号：O15[理学—数学]