Relatively Bounded Perturbations of J-Non-Negative Operators

被引：1

作者：

Philipp, Friedrich ^{[1
]}

机构：

[1] Tech Univ Ilmenau, Inst Math, Ilmenau, Germany

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2023年 / 17卷 / 01期

关键词：

J-self-adjoint operator; J-non-negative operator; Relatively bounded perturbation; Spectral enclosure; ORDINARY DIFFERENTIAL-OPERATORS; STURM-LIOUVILLE OPERATORS; SELF-ADJOINT OPERATOR; KREIN SPACE APPROACH; DEFINITIZABLE OPERATORS; SPECTRUM;

D O I：

10.1007/s11785-022-01263-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We improve known perturbation results for self-adjoint operators in Hilbert spaces and prove spectral enclosures for diagonally dominant J-self-adjoint operator matrices. These are used in the proof of the central result, a perturbation theorem for J-non negative operators. The results are applied to singular indefinite Sturm-Liouville operators with L-P-potentials. Known bounds on the non-real eigenvalues of such operators are improved.

引用

页数：30

共 15 条

[1] Relatively Bounded Perturbations of J-Non-Negative Operators
Friedrich Philipp
Complex Analysis and Operator Theory, 2023, 17
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[3] Relatively Bounded and Relatively Compact Perturbations for Limit Circle Hamiltonian Systems
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