On Rationality of Kneading Determinants

In this section, R denotes a ring with identity I. We study conditions under which I − Aλ and I − Bλ are left coprime or right coprime, where A, B ∈ R. As applications, we get sufficient conditions under which the Kneading determinant of a finite rank pair of operators on an infinite dimensional spa...

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Detalles Bibliográficos
Autores principales: Chen, Sheng, Xia, Chao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3948201/
https://www.ncbi.nlm.nih.gov/pubmed/24701173
http://dx.doi.org/10.1155/2014/504160
Descripción
Sumario:In this section, R denotes a ring with identity I. We study conditions under which I − Aλ and I − Bλ are left coprime or right coprime, where A, B ∈ R. As applications, we get sufficient conditions under which the Kneading determinant of a finite rank pair of operators on an infinite dimensional space is rational.

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