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math.FA2012★ 2 cited
An extension of the Lowner-Heinz inequality
Mohammad Sal Moslehian, Hamed Najafi
We extend the celebrated Löwner--Heinz inequality by showing that if are Hilbert space operators such that , then A^r - B^r \geq ||A||^r-(||A||- \frac{1}{||(A-…
math.OA2012
On the binary relation on self-adjoint Hilbert space operators
M. S. Moslehian, S. M. S. Nabavi Sales, H. Najafi
Given self-adjoint operators it is said whenever for some unitary operator . We show that if and only if $f…