Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4600164 | Linear Algebra and its Applications | 2012 | 7 Pages |
Abstract
We extend the celebrated Löwner-Heinz inequality by showing that if A,B are Hilbert space operators such that A>B⩾0, thenAr-Br⩾||A||r-||A||-1||(A-B)-1||r>0for each 00.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mohammad Sal Moslehian, Hamed Najafi,