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The Horn cone associated with symplectic eigenvalues

Published 21 Feb 2022 in math.SG | (2202.10260v1)

Abstract: In this note, we show that the Horn cone associated with symplectic eigenvalues admits the same inequalities as the classical Horn cone, except that the equality corresponding to Tr(C) = Tr(A)+Tr(B) is replaced by the inequality corresponding to Tr(C) $\ge$ Tr(A)+Tr(B).

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