An order preserving inequality via Furuta inequality. II

DOI10.1016/S0024-3795(01)00281-6zbMath1015.47012MaRDI QIDQ5943028

Chang Sen Yang

Publication date: 5 August 2003

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

zbMATH Keywords

Furuta inequalitypositive operatorLöwner-Heinz inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Positive linear operators and order-bounded operators (47B65)

Related Items (1)

Reverse of Fujii-Seo type log-majorization and its application to the Tsallis relative entropies

Cites Work

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• An elementary proof of an order preserving inequality
• Complements to the Furuta inequality
• On a conjecture related to Furuta-type inequalities with negative powers
• Extension of the Furuta inequality and Ando-Hiai log-majorization
• Two Operator Functions with Monotone Property
• The Furuta inequality with negative powers
• 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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