A remark on the Kochen-Specker theorem and some characterizations of the determinant on sets of Hermitian matrices
Lajos Molnár · Proceedings of the American Mathematical Society · 2006
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.