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A certain generalization of the Heinz inequality for positive operators

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Publication:2797892
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DOI10.1142/S0129167X16500087zbMath1338.47008MaRDI QIDQ2797892

Hideki Kosaki

Publication date: 1 April 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

positive operatorpositive definite functionunitarily invariant normoperator meanHeinz inequalityinfinitely divisible functionbinomial mean


Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30)


Related Items

Positive definiteness and infinite divisibility of certain functions of hyperbolic cosine function ⋮ Positive definiteness of certain functions and comparison of power difference and Heinz means



Cites Work

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  • Strong monotonicity for various means
  • Mean matrices and infinite divisibility
  • Means of Hilbert space operators
  • Positive definite matrices
  • On infinite divisibility of positive definite functions arising from operator means
  • Beiträge zur Störungstheorie der Spektralzerlegung
  • Positive definiteness of functions with applications to operator norm inequalities
  • Means for matrices and comparison of their norms
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