A complement to monotonicity of generalized Furuta-type operator functions

DOI10.1016/j.laa.2008.08.019zbMath1159.47006OpenAlexW1982554011MaRDI QIDQ958041

Eizaburo Kamei, Masatoshi Ito

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.08.019

zbMATH Keywords

positive operatorsoperator meangeneralized Furuta inequality

Mathematics Subject Classification ID

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

Related Items (2)

A satellite of the grand Furuta inequality and its application ⋮ Comprehensive survey on an order preserving operator inequality

Cites Work

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• Means of positive linear operators
• Simplified proof of an order preserving operator inequality
• Extension of the Furuta inequality and Ando-Hiai log-majorization
• A short proof of the best possibility for the grand Furuta inequality
• Monotonicity of order preserving operator functions
• Classified construction of generalized Furuta type operator functions
• Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality
• The best possibility of the grand Furuta inequality
• Mean theoretic approach to the grand 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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