Lieb-Thirring inequalities for Jacobi matrices

被引：42

作者：

Hundertmark, D ^{[1
]}

Simon, B ^{[1
]}

机构：

[1] CALTECH, Dept Math 253 37, Pasadena, CA 91125 USA

来源：

JOURNAL OF APPROXIMATION THEORY | 2002年 / 118卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jath.2002.3704

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a Jacobi matrix J on l(2) (Z(+)) with Ju(n) = a(n-1)u(n-1) + b(n)u(n) + a(n)u(n+1), we prove that Sigma(\E\>2)(E-2 - 4)(1/2) less than or equal to Sigma(n)\b(n)\ + 4Sigma(n)\a(n) - 1\. We also prove bounds on higher moments and some related results in higher dimension. (C) 2002 Elsevier Science (USA).

引用

收藏

页码：106 / 130

页数：25

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