Abstract

We consider matrices M with entries m ij = m( λ i, λ j) where λ 1, … , λ n are positive numbers and m is a binary mean dominated by the geometric mean, and matrices W with entries w ij = 1/m ( λ i, λ j) where m is a binary mean that dominates the geometric mean. We show that these matrices are infinitely divisible for several much-studied classes of means.

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