An operator inequality and self-adjointn
✍
Bojan Magajna; Marko Petkovšek; Aleksej Turnšek
📂
Article
📅
2004
🏛
Elsevier Science
🌐
English
⚖ 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