拟相似算子的右本质谱

On the Right Essential Spectra of Quasisimilar Operators

设算子S和T拟相似。本文研究了右本质谱σ_(re)(S)的连通分支与σ_(re)(T)相交的充分条件和必要条件以及σ_(re)(S)的连通分支与本质谱σ_e(T)的某些子集的相交关系。

Let S and T be quasisimilar operators. In this paper, some sufficient and necessary conditions for a component of σ(re)(S) to intersect σ(re)(T) are given. This paper also gives some sufficient conditions for a component of σ(re)(S) to intersect some subsets of σ_e(T).