NORM INEQUALITIES FOR POSITIVE OPERATORS

Authors
BHATIA R KITTANEH F
Citation
R. Bhatia et F. Kittaneh, NORM INEQUALITIES FOR POSITIVE OPERATORS, letters in mathematical physics, 43(3), 1998, pp. 225-231
Citations number
6
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
43
Issue
3
Year of publication
1998
Pages
225 - 231
Database
ISI
SICI code
0377-9017(1998)43:3<225:NIFPO>2.0.ZU;2-B
Abstract
Let A, B be positive operators on a Hilbert space, z any complex numbe r, m any positive integer, and \\\.\\\ any unitarily invariant norm. W e show that \\\A + zB\\\ less than or equal to \\\A + \z\B\\\ and \\\A (m) + B-m\\\ less than or equal to \\\(A + B)(m)\\\. Some related ineq ualities are also obtained.