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.
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Supported by Shanghai Leading Academic Discipline Project (Grant No. B407) and National Natural Science Foundation of China (Grant No. 11171109)
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Li, X., Wu, W. Operator Jensen’s inequality on C*-algebras. Acta. Math. Sin.-English Ser. 30, 35–50 (2014). https://doi.org/10.1007/s10114-013-2065-8
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DOI: https://doi.org/10.1007/s10114-013-2065-8