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An operator inequality related to Jensen’s inequality

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Publication:2731929
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DOI10.1090/S0002-9939-01-06130-5zbMath0976.47012MaRDI QIDQ2731929

Mitsuru Uchiyama

Publication date: 30 July 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

Furuta inequalityJensen inequalityorder of selfadjoint operators


Mathematics Subject Classification ID

Linear operator inequalities (47A63) Positive matrices and their generalizations; cones of matrices (15B48)


Related Items (1)

Mixed matrix (operator) inequalities



Cites Work

  • Jensen's inequality for operators and Loewner's theorem
  • Furuta's inequality and its application to Ando's theorem
  • Means of positive linear operators
  • Two Operator Functions with Monotone Property
  • Shorted Operators. II
  • Some exponential operator inequalities
  • Best possibility of the Furuta inequality
  • $A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$


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