有界线性算子的(h)性质和(gh)性质

Properties (h) and (gh) for Bounded Linear Operators

研究了有界线性算子的（h）性质和（gh）性质的问题．利用算子的单值扩张性的方法，获得了Banach空间上有界线性算子的（h）性质和（gh）性质的几个充分必要条件以及它们与其他Weyl型定理之间的关系，（h）性质和（gh）性质是a-Weyl定理和广义a-Weyl定理的推广．

In this paper, we introduce and study the properties （h） and （gh）, which extend a- Weyl＇s theorem and generalized a-Weyl＇s theorem.We establish for a bounded linear operator defind on Banach space several sufficient and necessary conditions for which property （h） and property （gh） hold.We also relate these properties with Weyl＇s type theorems. We also study the properties （h） and （gh） for the operators satisfying the single valued extension property. Moreover, these properties are studied in the framework of polaroid operators.