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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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| Authors: | Lajos Molná r |
| Institution: | Institute of Mathematics, University of Debrecen, H-4010 Debrecen, P.O. Box 12, Hungary |
| 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. |
| Keywords: | Positive definite matrices positive semi-definite matrices Hermitian matrices Kochen-Specker theorem determinant Jordan triple product |
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