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- W2045529534 abstract "For a (point-wisely non-negative) positive definite function a certain criterion for its infinite divisibility (i.e., all its fractional powers are also positive definite) is obtained. This criterion enables us to show infinite divisibility for many positive definite functions appearing naturally in study of operator means. In particular, we determine when the function cosh ( ν x ) + s ′ cosh x + s ( ν ∈ [ 0 , 1 ] ; s , s ′ ∈ ( − 1 , 1 ] ) is infinitely divisible." @default.
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- W2045529534 date "2008-01-01" @default.
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- W2045529534 title "On infinite divisibility of positive definite functions arising from operator means" @default.
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- W2045529534 doi "https://doi.org/10.1016/j.jfa.2007.09.021" @default.
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