ON AN INEQUALITY OF LIEB AND THIRRING

被引:150
作者
ARAKI, H
机构
[1] Research Institute for Mathematical Sciences, Kyoto University, Kyoto
关键词
AMS subject classification (1980): 47B10;
D O I
10.1007/BF01045887
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The following generalization of an inequality of Lieb and Thirring is proved: {Mathematical expression} for all positive selfadjoint operators a and b and for positive numbers q>1 and k>0. More generally, {Mathematical expression} for any monotone increasing continuous function φ{symbol} on (0, ∞) such that φ{symbol}(0)=0 and ξ→φ{symbol}(eξ) is convex. © 1990 Kluwer Academic Publishers.
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页码:167 / 170
页数:4
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