(bt)性质

PROPERTY( BT)

若T满足σ(T)\σvw(T)=p00(T),则称T有(bt)性质。本文主要研究了(bt)性质,具体研究了(bt)性质与其它Weyl型定理之间的关系,并给出了(bt)性质成立的条件及它与SVEP之间的关系。

An operator T is said to satisfy property (bt) , if σ(T)\σuw ( T) =p00 ( T) . In this paper, we study the proerty (bt) . Espe-cially, we study the relations between property (bt) and other Weyl type theorems, and establish suffcient and necessary conditions for which property (bt) holds. Finally, we give the relation between property (bt) and SVEP.