A satellite of the grand Furuta inequality and its application

DOI10.1016/j.laa.2011.03.049zbMath1270.47016OpenAlexW2023621227MaRDI QIDQ1940314

Keisuke Yonezawa, Masatoshi Fujii, Ritsuo Nakamoto

Publication date: 6 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.049

zbMATH Keywords

Furuta inequalitypositive operatorsgrand Furuta inequalityoperator meanAndo-Hiai inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (2)

Comprehensive survey on an order preserving operator inequality ⋮ Some properties of Furuta type inequalities and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An elementary proof of an order preserving inequality
• A complement to monotonicity of generalized Furuta-type operator functions
• Furuta's inequality and its application to Ando's theorem
• Means of positive linear operators
• Log majorization and complementary Golden-Thompson type inequalities
• Extension of the Furuta inequality and Ando-Hiai log-majorization
• Ando-Hiai inequality and Furuta inequality
• Mean theoretic approach to a further extension of grand Furuta inequality
• Further extension of an order preserving operator inequality
• Variants of Ando-Hiai Inequality
• The best possibility of the grand Furuta inequality
• Mean theoretic approach to the grand Furuta inequality
• Best possibility of the Furuta inequality
• Grand Furuta inequality and its variant
• 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 $(1 + 2r)q \geq p + 2r$

This page was built for publication: A satellite of the grand Furuta inequality and its application