【摘要】 本文研究两个拟相似算子的右本质谱之间的相交关系.通过引进RT类算子的概念,利用算子谱的精密结构的分析方法,得到一个算子的右本质谱的连通分支与另一个拟相似算子的右本质谱相交的充分和必要条件.更多还原

【Abstract】 This paper studies the intersection relations of the right essential spectrum of two quasisimilar operators.By introducing the concept of the R_ T-class operators, applying the elaborate structure of the spectrum of operators, we obtain a sufficient and necessary condition under which each component of the right essential spectrum of an operator intersects the right essential spectrum of the other quasisimilar operator.更多还原