An operator inequality and self-adjointn
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Bojan Magajna; Marko PetkovΕ‘ek; Aleksej TurnΕ‘ek
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Article
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2004
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Elsevier Science
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English
β 218 KB
Given bounded positive invertible operators A and B on a Hilbert space H, it is shown that the inequality AXA -1 + B -1 XB 2 X holds for all bounded operators X of rank 1 if and only if B = f (A) for some increasing function f satisfying a certain simple inequality, which in the case when the spectr