有拓扑一致降指数算子的(ω)性质的刻画  

Property(ω) for Which Have Topological Uniform Descent

作　　者：陈丽[1] 王桂花[1] 兰社云[1] 

机构地区：[1]郑州师范学院数学系,郑州450044

出　　处：《河南师范大学学报（自然科学版）》2012年第4期22-24,共3页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(A10071008)

摘　　要：利用拓扑一致降指数研究了(ω)性质,给出了Banach空间中有界线性算子满足(ω)性质的充要条件.最后将本文的主要结论应用到了解析仿正规算子上.In this paper we research the property （ω）, a variant of Weyl＇s theorem introduced by Rakocevic, by means of the topological uniform descent. We establish a bounded linear operator defined on a Banach space the sufficient and necessary conditions for which property （ω） holds. As a consequence of the main result, the analytically paranormal operators is considered.

关 键 词：(ω)性质 拓扑一致降指数 单值扩张性质 

分 类 号：O177.2[理学—数学]