Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Jensen’s operator inequality for functions of two variables
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by Frank Hansen
Proc. Amer. Math. Soc. 125 (1997), 2093-2102
DOI: https://doi.org/10.1090/S0002-9939-97-04003-3

Abstract:

The operator convex functions of two variables are characterized in terms of a non-commutative generalization of Jensen’s inequality.
References
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Bibliographic Information
  • Frank Hansen
  • Affiliation: Institute of Economics, University of Copenhagen, Studiestraede 6, DK-1455 Copenhagen K, Denmark
  • ORCID: 0000-0003-3701-4214
  • Received by editor(s): February 2, 1996
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2093-2102
  • MSC (1991): Primary 47A63; Secondary 47A80, 47Bxx
  • DOI: https://doi.org/10.1090/S0002-9939-97-04003-3
  • MathSciNet review: 1416088