Operator functions associated with Furuta's inequality

DOI10.1016/0024-3795(91)90327-SzbMath0725.47023MaRDI QIDQ2276735

Masatoshi Fujii, Eizaburo Kamei, Takayuki Furuta

Publication date: 1991

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

zbMATH Keywords

geometric meanoperator functionmonotonicity theoremFuruta's inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Related Items (6)

Extension of the Furuta inequality and Ando-Hiai log-majorization ⋮ Complements to the Furuta inequality ⋮ Generalizations of Kosaki trace inequalities and related trace inequalities on chaotic order ⋮ Characterization of chaotic order and its applications to furuta's type operator inequalities ⋮ Furuta's inequality and its application to Ando's theorem ⋮ Mean theoretic approach to the grand Furuta inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Means of positive linear operators
• A proof via operator means of an order preserving inequality
• Two Operator Functions with Monotone Property
• $A \geq B \geq 0$ 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 $(1 + 2r)q \geq p + 2r$
• On some operator inequalities

This page was built for publication: Operator functions associated with Furuta's inequality