Spectral properties of unbounded J-self-adjoint block operator matrices

被引：5

作者：

Langer, Matthias ^{[1
]}

Strauss, Michael ^{[2
]}

机构：

[1] Univ Strathclyde, Dept Math & Stat, 26 Richmond St, Glasgow G1 1XH, Lanark, Scotland

[2] Univ Sussex, Dept Math, Falmer Campus, Brighton BN1 9QH, E Sussex, England

来源：

JOURNAL OF SPECTRAL THEORY | 2017年 / 7卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

J-self-adjoint operator; spectral enclosure; Schur complement; quadratic numerical range; Krein space; spectrum of positive type; TRIPLE VARIATIONAL-PRINCIPLES; KREIN SPACES; DEFINITE TYPE; EIGENVALUES;

D O I：

10.4171/JST/158

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the spectrum of unbounded J-self-adjoint block operator matrices. In particular, we prove enclosures for the spectrum, provide a sufficient condition for the spectrumbeing real and derive variational principles for certain real eigenvalues even in the presence of non-real spectrum. The latter lead to lower and upper bounds and asymptotic estimates for eigenvalues.

引用

页码：137 / 190

页数：54

共 36 条

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