Operator Jensen's Inequality on C*-algebras  

作　　者：Xin LI Wei WU 

机构地区：[1]Department of Mathematics,East China Normal University

出　　处：《Acta Mathematica Sinica,English Series》2014年第1期35-50,共16页数学学报（英文版）

基　　金：Supported by Shanghai Leading Academic Discipline Project(Grant No.B407);National Natural Science Foundation of China(Grant No.11171109)

摘　　要：A real continuous function which is defined on an interval is said to beA-convex if it is convex on the set of self-adjoint elements,with spectra in the interval,in all matrix algebras of the unital C-algebra A.We give a general formation of Jensen’s inequality for A-convex functions.A real continuous function which is defined on an interval is said to beA-convex if it is convex on the set of self-adjoint elements,with spectra in the interval,in all matrix algebras of the unital C-algebra A.We give a general formation of Jensen’s inequality for A-convex functions.

关 键 词：Jensen＇s inequality C-algebra A-convex function Bochner integral unital A-field 

分 类 号：O177.5[理学—数学]