Spectral symmetry of solutions of boundary value problems in Banach algebras

被引：0

作者：

Herzog, Gerd ^{[1
]}

Kunstmann, Peer Ch ^{[1
]}

机构：

[1] Karlsruhe Inst Technol KIT, Inst Anal, D-76128 Karlsruhe, Germany

来源：

ANNALES POLONICI MATHEMATICI | 2022年 / 128卷 / 01期

关键词：

boundary value problems; Banach algebras; symmetry;

D O I：

10.4064/ap210520-4-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For Banach algebras A and solutions u : [0, 1] -> A of u ''(t) + f(u(t)) + lambda u'(t)(2) = 0, u(0) = 0, u(1) = 0, we prove symmetry of the spectrum sigma(u(t)), that is, sigma(u(t)) = sigma(u(1 - t)) for all t is an element of [0, 1], whenever sigma(u([0, 1])) lies in a cone of the complex plane.

引用

页码：39 / 48

页数：10

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