Direct and Inverse Spectral Problems for Rank-One Perturbations of Self-adjoint Operators

被引：4

作者：

Dobosevych, Oles ^{[1
]}

Hryniv, Rostyslav ^{[1
,2
]}

机构：

[1] Ukrainian Catholic Univ, 2a Kozelnytska Str, UA-79026 Lvov, Ukraine

[2] Univ Rzeszow, 1 Pigonia Str, PL-35959 Rzeszow, Poland

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2021年 / 93卷 / 02期

关键词：

Operators; Rank-one perturbations; Non-simple eigenvalues; Eigenvalue asymptotics; EIGENVALUES; MATRIX; APPROXIMATIONS;

D O I：

10.1007/s00020-021-02630-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a given self-adjoint operator A with discrete spectrum, we completely characterise possible eigenvalues of its rank-one perturbations B and discuss the inverse problem of reconstructing B from its spectrum.

引用

页数：18

共 39 条

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