J4 ›› 2010, Vol. 45 ›› Issue (4): 82-85.
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ZHONG Jin, LIU Xiao-ji*
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Abstract:
The sharp ordering for Hilbert space operators is defined. Some properties and equivalent characterizations are established. Also, the condition for the reverse order law of two operators is obtained and the condition for sharp ordering under perturbation remains hold is discussed.
Key words: operators; sharp ordering; generalized inverse; partial ordering
ZHONG Jin, LIU Xiao-ji*. On the sharp ordering for Hilbert space operators[J].J4, 2010, 45(4): 82-85.
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