VARIATIONAL CHARACTERIZATIONS FOR EIGENFUNCTIONS OF ANALYTIC SELF-ADJOINT OPERATOR FUNCTIONS

被引：2

作者：

Katsouleas, Georgios ^{[1
]}

Maroulas, John ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

来源：

OPUSCULA MATHEMATICA | 2013年 / 33卷 / 02期

关键词：

operator functions; eigenfunctions; eigenvalues; variational principles;

D O I：

10.7494/OpMath.2013.33.2.307

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider Rellich's diagonalization theorem for analytic self-adjoint operator functions and investigate variational principles for their eigenfunctions and interlacing statements. As an application, we present a characterization for the eigenvalues of hyperbolic operator polynomials.

引用

页码：307 / 321

页数：15

共 13 条

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