Operator Jensen's inequality on C-algebras

Authors
Li, Xin Wu, Wei
Citation
Li, Xin et Wu, Wei, Operator Jensen's inequality on C-algebras, Acta mathematica Sinica. English series (Print) , 30(1), 2014, pp. 35-50
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
30
Issue
1
Year of publication
2014
Pages
35 - 50
Database
ACNP
SICI code
Abstract
A real continuous function which is defined on an interval is said to be A-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.