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Characterization of chaotic order and its applications to furuta's type operator inequalities |
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| Authors: | Masatoshi Fujii Jian Fei Jiang Eizaburo Kamei |
| Affiliation: | a Department of Mathematics, Osaka Kyoiku University, Asahigaoka, Kashiwara, Osaka, Japanb Department of Basic Science and Technology, China Textile University, Shanghai, Chinac Momodani Senior Highschool, Ikuno, Osaka, Japan |
| Abstract: | Very recently, we obtained a simple characterization of the chaotic order log A≥log B among positive invertible operators AB on a Hilbert space. In this note, we discuss Furuta's type operator inequalities as applications of our characterization of the chaotic order. |
| Keywords: | Positive operators chaotic order Lowner-Heinz inequality Furuta inequality Ando-Hiai inequality and grand Furuta inequality A MS Subject Classification: 47A63 and 47B15 |
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