Characterization of chaotic order and its application to Furuta inequality
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- by Masatoshi Fujii, Jian Fei Jiang and Eizaburo Kamei PDF
- Proc. Amer. Math. Soc. 125 (1997), 3655-3658 Request permission
Abstract:
In this note, we give a simple characterization of the chaotic order $\log A \ge \log B$ among positive invertible operators $A, B$ on a Hilbert space. As an application, we discuss Furuta’s type operator inequality.References
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Additional Information
- Masatoshi Fujii
- Affiliation: Department of Mathematics, Osaka Kyoiku University, Asahigaoka, Kashiwara, Osaka 582, Japan
- Email: mfujii@cc.osaka-kyoiku.ac.jp
- Jian Fei Jiang
- Affiliation: 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
- Affiliation: Momodani Senior High School, Ikuno, Osaka 544, Japan
- Address at time of publication: Maebashi Institute of Technology, Kamisadori, Maebashi, Gunma 371, Japan
- Email: kamei@maebashi-it.ac.jp
- Received by editor(s): July 16, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3655-3658
- MSC (1991): Primary 47A63, 47B15
- DOI: https://doi.org/10.1090/S0002-9939-97-04057-4
- MathSciNet review: 1415586
Dedicated: Dedicated to Professor P. R. Halmos on his 80th Birthday