Norm inequalities for fractional powers of positive operators |
| |
Authors: | Fuad Kittaneh |
| |
Institution: | (1) Department of Mathematics, University of Jordan, Amman, Jordan |
| |
Abstract: | It is shown that ifA, B andX are operators on a Hilbert space such thatA andB are positive andX belongs to a norm ideal associated with some unitarily invariant norm |·|, then for 0 r 1 we have |A
r
XB
r
| |X|1-r
|AXB|
r
. This is an extension of the classical Heinz-Kato inequality which was originally proved for the usual operator norm. Other related inequalities are also discussed. |
| |
Keywords: | 47A30 47B10 47B15 47B20 |
本文献已被 SpringerLink 等数据库收录! |
|