A remark on the Kochen-Specker theorem and some characterizations of the determinant on sets of Hermitian matrices

Molnár, Lajos

doi:10.1090/S0002-9939-06-08319-5

A remark on the Kochen-Specker theorem and some characterizations of the determinant on sets of Hermitian matrices
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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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