Jensen's Operator Inequality for Functions of Several Variables

Huzihiro Araki and Frank Hansen
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Huzihiro Araki: The Science University of Tokyo
Frank Hansen: Institute of Economics, University of Copenhagen

No 98-13, Discussion Papers from University of Copenhagen. Department of Economics

Abstract: The operator convex functions of several variables are characterized in terms of a non-commutative generalization of Jensen's inequality, extending previous results of F. Hansen and G.K. Pedersen for functions of one variable and of F. Hansen for functions of two variables.

Keywords: Jensen's inequality; operator convex functions; operator inequality (search for similar items in EconPapers)
Pages: 12 pages
Date: 1998-09
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Published in RGMIA Research Report Collection, 2(6), Art. 2, 1999
Published in Proc. Amer. Math. Soc. 128(7) 2000, 2069-2074

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