|
|||||
|
|
Characterization of chaotic order and its application to furuta inequality |
|
| Authors: | Masatoshi Fujii Jian Fei Jiang Eizaburo Kamei |
| Institution: | Department of Mathematics, Osaka Kyoiku University, Asahigaoka, Kashiwara, Osaka 582, Japan ; Department of Mathematics, Osaka Kyoiku University, Kashiwara, Osaka 582, Japan - permanent address: Department of Basic Science and Technology, China Textile University, Shanghai, China, Postal code 200051 Eizaburo Kamei ; Momodani Senior High School, Ikuno, Osaka 544, Japan |
| Abstract: | In this note, we give a simple characterization of the chaotic order  among positive invertible operators  on a Hilbert space. As an application, we discuss Furuta's type operator inequality. |
| Keywords: | Positive operators chaotic order L\"{o}wner-Heinz inequality Furuta inequality |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |