拟相似算子谱的连通分支

On the Components of the Spectum of Quaaisimilar Operntors

设算子A和B拟相似，τ是左谱σ1（B）的连通分支，△是左Browder本性谱σlB（B）的连通分支，本文讨论左谱和左Browder本性谱的结构，给出了τ∩σl（A）≠Ф和△∩σlB（A）≠Ф的一些充要条件。

Let A and B be quasisimilar operators, T be a component of left spectrum σ1（B） ,and let A be a component of letf Browder essential spectrumσ1（B） .This paper disscusses the strutures of left spectrum and left Browder essential spectrum of an operator, and gives some sufficient and necessary conditions for τ∩σl（A）≠Ф and △∩σlB（A）≠Ф