Banach代数边值问题解的谱对称性

IF 0.7 4区数学 Q2 MATHEMATICS

Annales Polonici Mathematici Pub Date : 2022-01-01 DOI:10.4064/ap210520-4-10

G. Herzog, Peer Ch. Kunstmann

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引用次数: 0

摘要

．为Banach algebras A和解决方案u:[0, 1]→A的u′′(t) + f (u (t) +λu′(t) 2 = 0,则u (0) = 0, u(1) = 0,我们证明频谱之symmetryσ(u (t)就是,σ(u (t) =−1σ(u (t)为所有t∈[0,1]],每当σ(u([0, 1]])谎言in A》情结飞机圆锥。

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Spectral symmetry of solutions of boundary value problems in Banach algebras

. For Banach algebras A and solutions u : [0 , 1] → A of u ′′ ( t ) + f ( u ( t )) + λu ′ ( t ) 2 = 0 , u (0) = 0 , u (1) = 0 , we prove symmetry of the spectrum σ ( u ( t )) , that is, σ ( u ( t )) = σ ( u (1 − t )) for all t ∈ [0 , 1] , whenever σ ( u ([0 , 1])) lies in a cone of the complex plane.

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来源期刊

Annales Polonici Mathematici 数学-数学

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba. The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.