Characterization of chaotic order and its application to Furuta inequality

DOI10.1090/S0002-9939-97-04057-4zbMath0889.47014OpenAlexW1789863346MaRDI QIDQ4372423

Jian-Fei Jiang, Masatoshi Fujii, Eizaburo Kamei

Publication date: 11 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04057-4

zbMATH Keywords

Furuta inequalitypositive operatorsLöwner-Heinz inequalitychaotic order

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15)

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Cites Work

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• An elementary proof of an order preserving inequality
• Furuta's inequality and its application to Ando's theorem
• Furuta's Inequality and a Generalization of Ando's Theorem
• Shorter Notes: Some Operator Monotone Functions
• $A \geq B \geq 0$ 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 $(1 + 2r)q \geq p + 2r$
• On some operator inequalities