Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 134, Issue 10, Pages 2839-2848Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-06-08319-5
Keywords
positive definite matrices; positive semi-definite matrices; Hermitian matrices; Kochen-Specker theorem; determinant; Jordan triple product
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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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