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.

引用

页码：197 / 218

页数：22

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