交叉交换算子组的联合谱和单值延拓性质

On Joint Spectrum and the Single Valued Extension of Criss-cross Commuting Operators

设A为Banach代数,a,b∈A^n,a和b是具有交叉交换性质的算子组,李在讨论ab和ba的Taylor联合谱时首次引进交叉交换性质这个概念,本文将继续利用这个性质讨论ab和ba的左右联合谱和单值延拓性并给出其中一个结果的应用。

Let a ∈ An and b ∈ An of elements in a Banach algbra A criss-cross commute. Li first introduced criss-cross commutivity to discuss the Taylor joint spectrum of operators pairs ab and ba. In this paper we will continue to discuss their properties of σl,r joint spectrum and the single valued extention and give an application of one of their properties.