论文标题
扩展了Rakočević的财产
Extended Rakočević's property
论文作者
论文摘要
本文的目的是引入和研究Rakočević的财产$（w）$和属性$（b）$的新扩展，该$与其他Weorem type Theorems和最近的属性有关。我们特别证明了以下两个结果： 1。有限的线性运算符$ t $满足属性$（w_ {π_{00}}）$，并且仅当$ t $满足属性$（w）$和$σ_{uf}（t）=σ_{uw}（uw}（t）。 2。$ t $满足属性$（gw_ {π_{00}}）$，并且仅当$ t $满足属性$（w_ {π_{00}}）$和$π_{0}（t）= p_ {0} = p_ {0}^a（t）^a（t）^a（t）^a（t）。
The purpose of this paper is to introduce and study new extension of Rakočević's property $(w)$ and property $(b)$ introduced by Berkani--Zariouh in \cite{berkani-zariouh1}, in connection with other Weyl type theorems and recent properties. We prove in particular, the two following results: 1. A bounded linear operator $T$ satisfies property $(w_{π_{00}})$ if and only if $T$ satisfies property $(w)$ and $σ_{uf}(T)=σ_{uw}(T).$ 2. $T$ satisfies property $(gw_{π_{00}})$ if and only if $T$ satisfies property $(w_{π_{00}})$ and $π_{0}(T)=p_{0}^a(T).$ Classes of operators are considered as illustrating examples.
