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Essential self-adjointness of an infinite-dimensional operator

✍ Scribed by N. N. Frolov

Publisher
SP MAIK Nauka/Interperiodica
Year
1978
Tongue
English
Weight
350 KB
Volume
24
Category
Article
ISSN
0001-4346

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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