<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Conde. C</style></author><author><style face="normal" font="default" size="100%">Moslehian. M.S</style></author><author><style face="normal" font="default" size="100%">Seddik. A</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Operator inequalities related to the Corach&amp;ndash;Porta&amp;ndash;Rechtinequality</style></title><secondary-title><style face="normal" font="default" size="100%">Linear Algebra Appl.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><volume><style face="normal" font="default" size="100%">436</style></volume><pages><style face="normal" font="default" size="100%">3008-3017</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">We prove some refinements of an inequality due to X. Zhan in an&lt;br&gt;arbitrary complex Hilbert space by using some results on the Heinz&lt;br&gt;inequality. We present several related inequalities as well as new&lt;br&gt;variants of the Corach–Porta–Recht inequality.We also characterize&lt;br&gt;the class of operators satisfying&lt;br&gt; SXS&lt;br&gt;−1 + S&lt;br&gt;−1XS + kX&lt;br&gt;&lt;br&gt; (k +&lt;br&gt;2) X under certain conditions.</style></abstract></record></records></xml>