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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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A characterization of the mixed discriminant
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by D. Florentin, V. D. Milman and R. Schneider
Proc. Amer. Math. Soc. 144 (2016), 2197-2204
DOI: https://doi.org/10.1090/proc/12344
Published electronically: January 27, 2016
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Abstract:

Suppose that a function of $n$ positive semidefinite $n \times n$ matrices is additive in each variable and nonnegative. If the function vanishes whenever two of its arguments are proporitional matrices of rank one, then it is a constant multiple of the mixed discriminant.
References
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Bibliographic Information
  • D. Florentin
  • Affiliation: School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
  • V. D. Milman
  • Affiliation: School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
  • MR Author ID: 125020
  • ORCID: 0000-0003-4632-5487
  • R. Schneider
  • Affiliation: Mathematisches Institut, Albert-Ludwigs-Universität, Eckerstr. 1, D–79104, Freiburg i. Br., Germany
  • MR Author ID: 199426
  • ORCID: 0000-0003-0039-3417
  • Received by editor(s): June 12, 2013
  • Received by editor(s) in revised form: August 26, 2013
  • Published electronically: January 27, 2016
  • Additional Notes: The second author was supported in part by Minerva Foundation, ISF grant 826/13 and by BSF grant 2012111.
  • Communicated by: Michael Wolf
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 2197-2204
  • MSC (2010): Primary 52A39, 15A15
  • DOI: https://doi.org/10.1090/proc/12344
  • MathSciNet review: 3460178