A characterization theorem for matrix variances

Published 15 Nov 2013 in math.FA | (1311.3908v2)

Abstract: Some papers formulated sufficient conditions for the decomposition of matrix variances. A statement was that if we have one or two observables, then the decomposition is possible. In this paper we consider an arbitrary finite set of observables and we present a necessary and sufficient condition for the decomposition of the matrix variances.

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