<?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%">Seddik. A</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The numerical range of elementary operators II</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%">2001</style></year></dates><volume><style face="normal" font="default" size="100%">338</style></volume><pages><style face="normal" font="default" size="100%">239-244</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">For A,B ∈ L(H) (the algebra of all bounded linear operators on the Hilbert space H),&lt;br&gt;it is proved that: (i) the generalized derivation δA,B is convexoid if and only if A and B are&lt;br&gt;convexoid; (ii) the operators δA,B and δA,B&lt;br&gt;|Cp (where p  1) have the same numerical range&lt;br&gt;and are equal to W0(A) − W0(B) (where Cp is the Banach space of the p-Schatten class&lt;br&gt;operators on H).</style></abstract></record></records></xml>