Variants of Ando-Hiai Inequality

DOI10.1007/978-3-7643-8893-5_9zbMath1156.47022OpenAlexW190256351MaRDI QIDQ3612916

Masatoshi Fujii, Eizaburo Kamei

Publication date: 11 March 2009

Published in: Recent Advances in Operator Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8893-5_9

zbMATH Keywords

geometric meanFuruta inequalitypositive operatorsAndo-Hiai inequality

Mathematics Subject Classification ID

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

Related Items (2)

A satellite of the grand Furuta inequality and its application ⋮ A complement of the Ando--Hiai inequality

Cites Work

• An elementary proof of an order preserving inequality
• 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
• $A \geq B \geq 0$ 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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