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Norm Inequalities for Commutators of Self-adjoint Operators

✍ Scribed by Fuad Kittaneh


Publisher
SP Birkhäuser Verlag Basel
Year
2008
Tongue
English
Weight
115 KB
Volume
62
Category
Article
ISSN
0378-620X

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An operator inequality and self-adjointn
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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