Title of article
Mean matrices and infinite divisibility Original Research Article
Author/Authors
Rajendra Bhatia، نويسنده , , Hideki Kosaki، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
19
From page
36
To page
54
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.
Keywords
Fourier transform , Mean , Positive definite matrix , Infinitely divisible matrix , Operator monotone function
Journal title
Linear Algebra and its Applications
Serial Year
2007
Journal title
Linear Algebra and its Applications
Record number
825596
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