A characterization of chaotic order
© C. Yang and F. Gao 2006
Received: 15 November 2005
Accepted: 4 January 2006
Published: 8 June 2006
The chaotic order among positive invertible operators on a Hilbert space is introduced by . Using Uchiyama's method and Furuta's Kantorovich-type inequality, we will point out that if and only if holds for any , where is any fixed positive number. On the other hand, for any fixed , we also show that there exist positive invertible operators , such that holds for any , but is not valid.
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