Jensen’s operator inequality for functions of several variables
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- by Huzihiro Araki and Frank Hansen PDF
- Proc. Amer. Math. Soc. 128 (2000), 2075-2084 Request permission
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.References
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Additional Information
- Huzihiro Araki
- Affiliation: Department of Mathematics, Faculty of Science and Technology, The Science University of Tokyo, Noda, Chiba-ken 278-8510, Japan
- Email: araki@ma.noda.sut.ac.jp
- Frank Hansen
- Affiliation: Institute of Economics, University of Copenhagen, Studiestraede 6, 1455 Copenhagen K, Denmark
- ORCID: 0000-0003-3701-4214
- Email: frank.hansen@econ.ku.dk
- Received by editor(s): August 30, 1998
- Published electronically: February 16, 2000
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2075-2084
- MSC (1991): Primary 47A63; Secondary 47A80, 47Bxx
- DOI: https://doi.org/10.1090/S0002-9939-00-05371-5
- MathSciNet review: 1670414