<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Fewster, Christopher J.</style></author><author><style face="normal" font="default" size="100%">Ojima, Izumi</style></author><author><style face="normal" font="default" size="100%">Porrmann, Martin</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">p-Nuclearity in a new perspective</style></title><secondary-title><style face="normal" font="default" size="100%">Letters in Mathematical Physics</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Mathematical Physics</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://arxiv.org/abs/math-ph/0412027</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">73</style></volume><pages><style face="normal" font="default" size="100%">1-15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">In this paper we try to settle some confused points concerning the use of the notion of p-nuclearity in the mathematical and physical literature, pointing out that the nuclearity index in the physicists' sense vanishes for any p &gt; 1. Our discussion of these issues suggests a new perspective, in terms of epsilon-entropy and operator spaces, which might permit connections to be drawn between phase space criteria and quantum energy inequalities.</style></abstract><custom1><style face="normal" font="default" size="100%">arXiv:math-ph/0412027</style></custom1><custom2><style face="normal" font="default" size="100%">MR2168003</style></custom2></record></records></xml>