Mean matrices and infinite divisibility |
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| Authors: | Rajendra Bhatia Hideki Kosaki |
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| Affiliation: | a Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 7, S. J. S. Sansanwal Marg, New Delhi - 110 016, India
b Graduate School of Mathematics, Kyushu University, Higashi-ku, Fukuoka 812-8581, Japan |
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| Abstract: | We consider matrices M with entries mij = m(λi, λj) where λ1, … ,λn are positive numbers and m is a binary mean dominated by the geometric mean, and matrices W with entries wij = 1/m (λi, λj) 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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| Keywords: | 15A45 15A57 42A82 47A63 |
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