渭南师范学院学报Issue(18)：26-29,4.
有界线性算子的性质（gM）
Property (gM) for Bounded Linear Operators
摘要
Abstract
In this paper we study the property ( M) and property ( gM) , two variants of Weyl type theorem, by means of the localized spectrum theorem. We establish for a bounded linear operator defined on a Banach space several sufficient and necessary conditions for which property ( M) and property ( gM) hold. We also relate property ( M) and the property ( gM) with other Weyl type theorems. In addition, we prove that Tpossesses property ( gM) if and only if Tsatisfies generalized Weyl theorem andσSBF-+( T)= σBW( T) , whereσSBF-+( T) is the essential semi-B-Fredholm spectrum of T andσBW( T) is the B-Weyl spectrum of T .关键词
性质( M)/性质( gM)/性质( aM)/性质( gaM)Key words
property(M)/property(gM)/property(aM)/property(gaM)分类
数理科学引用本文复制引用
戴磊,张程泱..有界线性算子的性质（gM）[J].渭南师范学院学报,2015,(18):26-29,4.基金项目
陕西省自然科学基金项目对Weyl型定理及其摄动的研究（2014JQ1015）；渭南市科技计划项目对Weyl型定理之间关系的研究（2013KYJ－1）；渭南师范学院教育教学改革研究一般项目近世代数课程教学改革研究 （）
