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Operator Jensen's Inequality on C*-algebras

Operator Jensen's Inequality on C*-algebras
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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.
作者 Xin LI Wei WU
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 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)
关键词 Jensen's inequality C-algebra A-convex function Bochner integral unital A-field Jensen's inequality C-algebra A-convex function Bochner integral unital A-field
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