Spectral points of definite type and type p for linear operators and relations in Krein spaces

被引：10

作者：

Azizov, T. Ya. ^{[1
]}

Behrndt, J. ^{[2
]}

Jonas, P.

Trunk, C. ^{[3
]}

机构：

[1] Voronezh State Univ, Dept Math, Voronezh 39400, Russia

[2] Graz Univ Technol, Inst Numer Math, A-8010 Graz, Austria

[3] Tech Univ Ilmenau, Inst Math, D-98684 Ilmenau, Germany

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2011年 / 83卷

关键词：

SELF-ADJOINT OPERATORS; PERTURBATIONS; COMPACT; PI(-); PI(+);

D O I：

10.1112/jlms/jdq098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Spectral points of positive and negative type, and type pi(+) and type pi(-) for closed linear operators and relations in Krein spaces are introduced with the help of approximative eigensequences. The main objective of the paper is to study these sign type properties in the non-self-adjoint case under various kinds of perturbations, for example, compact perturbations and perturbations small in the gap metric. Many of the obtained perturbation results are also new for the special case of bounded and unbounded self-adjoint operators in Krein spaces.

引用

页码：768 / 788

页数：21

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