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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A remark on the Kochen-Specker theorem and some characterizations of the determinant on sets of Hermitian matrices
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by Lajos Molnár PDF
Proc. Amer. Math. Soc. 134 (2006), 2839-2848 Request permission

Abstract:

In this paper we describe the general forms of all (nonlinear) continuous functionals on the sets of positive definite, positive semi-definite and Hermitian matrices which are multiplicative on the commuting elements. As a consequence, we obtain some new characterizations of the determinant on those classes of matrices.
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Additional Information
  • Lajos Molnár
  • Affiliation: Institute of Mathematics, University of Debrecen, H-4010 Debrecen, P.O. Box 12, Hungary
  • Email: molnarl@math.klte.hu
  • Received by editor(s): February 9, 2005
  • Received by editor(s) in revised form: April 26, 2005
  • Published electronically: April 11, 2006
  • Additional Notes: The author was supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. T043080, T046203, and by a joint Hungarian-Slovene grant (Reg. No. SLO-10/03).
  • Communicated by: Joseph A. Ball
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 2839-2848
  • MSC (2000): Primary 15A60, 15A15; Secondary 15A48, 15A57
  • DOI: https://doi.org/10.1090/S0002-9939-06-08319-5
  • MathSciNet review: 2231606