SMALL PERTURBATIONS OF SELFADJOINT AND UNITARY OPERATORS IN KREIN SPACES

被引：0

作者：

Azizov, Tomas Ya. ^{[1
]}

Jonas, Peter ^{[2
]}

Trunk, Carsten ^{[3
]}

机构：

[1] Voronezh State Univ, Dept Math, Voronezh 394006, Russia

[2] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

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

来源：

JOURNAL OF OPERATOR THEORY | 2010年 / 64卷 / 02期

关键词：

Selfadjoint operators; unitary operators; perturbation by uniformly dissipative operators; Krein spaces; perturbation by uniformly bi-expansive operators; STABILIZABILITY; STABILIZATION; EQUATIONS; SPECTRUM; PI(-); PI(+); WELL; WAVE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the behaviour of the spectrum of selfadjoint operators in Krein spaces under perturbations with uniformly dissipative operators. Moreover we consider the closely related problem of the perturbation of unitary operators with uniformly bi-expansive. The obtained perturbation results give a new characterization of spectral points of positive type and of type pi(+) of selfadjoint (respectively unitary) operators in Krein spaces.

引用

页码：401 / 416

页数：16

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