Some matrix inequalities of log-majorization type

Published 10 Mar 2021 in math.FA | (2103.06174v1)

Abstract: The purpose of this paper is two-fold: we present some matrix inequalities of log-majorization type for eigenvalues indexed by a sequence; we then apply our main theorem to generalize and improve the Hua-Marcus' inequalities. Our results are stronger and more general than the existing ones.

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