Weyl型定理的新变形

New Variation of Weyl Type Theorem

引入了Weyl型定理的新变形-(bt)性质,研究了它与其他的Weyl型定理之间的关系,并给出了(bt)性质成立的条件及它的扰动性质。

In this paper we introduce the new property （bt）, which extend property （t） introduced by Rashid. We investigate the property （ht） in connection with Weyl type theorem,and establish suffi- cient and necessary conditions for which property （bt） holds. We also study the stability of property （bt） under perturbation by Riesz operators commuting with T.