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An operator monotone function \(\frac{t\log t-t+1}{\log^2 t}\) and strictly chaotic order

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Publication:5957185
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DOI10.1016/S0024-3795(01)00331-7zbMath1030.47011MaRDI QIDQ5957185

Takayuki Furuta

Publication date: 18 February 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

Löwner-Heinz inequalityOperator monotonicitypositive invertible operators


Mathematics Subject Classification ID

Linear operator inequalities (47A63)


Related Items (1)

Extensions of Hölder-McCarthy and Kantorovich inequalities and their applications



Cites Work

  • Some results on matrix monotone functions
  • Jensen's inequality for operators and Loewner's theorem
  • A characterization of chaotic order and a problem
  • Characterization of chaotic order and its application to Furuta inequality
  • Characterization of chaotic order and its applications to furuta's type operator inequalities
  • Unnamed Item


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