Generalizations of reverse Bebiano-Lemos-Providência inequality

DOI10.1016/j.laa.2008.01.022zbMath1162.47018OpenAlexW2055210519MaRDI QIDQ1002257

Masatoshi Fujii, Akemi Matsumoto

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.01.022

zbMATH Keywords

operator inequalitynorm inequalityFuruta inequalitypositive operatorreverse inequalityAraki-Cordes inequalityBebiano-Lemos-Providência inequality (BLP inequality)

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Related Items (1)

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

Cites Work

• An elementary proof of an order preserving inequality
• On an inequality of Lieb and Thirring
• Generalized Bebiano-Lemos-Providência inequalities and their reverses
• Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
• Inequalities for quantum relative entropy
• Reverse inequalities of Araki, Cordes and Löwner--Heinz inequalities
• Best possibility of the Furuta inequality
• 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 $(1 + 2r)q \geq p + 2r$
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