B-Fredholm算子在零点的单值扩张性  

The Single Valued Extension Properties of B-Fredholm Operators at Zero

作　　者：吴晓红 黄俊杰[2] WU Xiaohong;HUANG Junjie(School of Mathematics and Big Data,Hohhot Minzu College,Hohhot 010051,China;School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China)

机构地区：[1]呼和浩特民族学院数学与大数据学院,呼和浩特010051 [2]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2022年第3期231-235,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：呼和浩特民族学院科学研究项目(HM-YB-202103)。

摘　　要：单值扩张性是局部谱理论中,通过解析函数得到的一个重要概念,也是研究算子局部谱问题的一个重要工具。本文通过算子分解技术研究了B-Fredholm算子在零点具有单值扩张性的条件,得到了算子具有单值扩张性的充分条件。The single valued extension property is an important concept in the theory of local spectrum,which is obtained by analytic functions.And it is also an important tool to study the local spectrum.In this paper,the conditions that B-Fredholm operators have the single valued extension property at zero are studied by operator decomposition technique.At the same time,some sufficient conditions that B-Fredholm operators have the single valued extension property are obtained.

关 键 词：B-Fredholm算子 单值扩张性 有界算子 局部谱 

分 类 号：O151.21[理学—数学]