Inequalities for the Eigenvalues of Non-Selfadjoint Jacobi Operators

被引：15
作者：
Hansmann, Marcel [1 ]
Katriel, Guy [1 ]
机构：
[1] Tech Univ Clausthal, Inst Math, D-38678 Clausthal Zellerfeld, Germany
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2011年 / 5卷 / 01期
关键词：
Non-selfadjoint Jacobi operators; Eigenvalues; Lieb-Thirring inequalities; MATRICES; BOUNDS;
D O I：
10.1007/s11785-009-0040-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove Lieb-Thirring-type bounds on eigenvalues of non-selfadjoint Jacobi operators, which are nearly as strong as those proven previously for the case of selfadjoint operators by Hundertmark and Simon. We use a method based on determinants of operators and on complex function theory, extending and sharpening earlier work of Borichev, Golinskii and Kupin.
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收藏
页码：197 / 218
页数：22
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