Characterization of chaotic order and its application to Furuta inequality

Fujii, Masatoshi; Jiang, Jian; Kamei, Eizaburo

doi:10.1090/S0002-9939-97-04057-4

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.

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