New Results on Common Properties of Bounded Linear Operators RS and SR  

作　　者：Qing Ping ZENG Huai Jie ZHONG 

机构地区：[1]School of Mathematics and Computer Science,Fujian Normal University

出　　处：《Acta Mathematica Sinica,English Series》2013年第10期1871-1884,共14页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11171066);Special Funds of National Natural Science Foundation of China(Grant No.11226113);Specialized Research Fund for the Doctoral Program of Higher Education(Grant Nos.2010350311001 and 20113503120003);Natural Science Foundation of Fujian Province(Grant Nos.2011J05002 and 2012J05003);Foundation of the Education Department of Fujian Province(Grant No.JB10042)

摘　　要：Let X, Y be Banach spaces, R ： X → Y emd S ： Y →X be bounded linear operators. When λ ≠ 0, we investigate common properties of λ i - SR and ,λ I - RS. This work should be viewed as a continuation of researches of Barnes and Lin et al.. We also apply these results obtained to B-Fredholm theory, extensions and Aluthge transforms.Let X, Y be Banach spaces, R ： X → Y emd S ： Y →X be bounded linear operators. When λ ≠ 0, we investigate common properties of λ i - SR and ,λ I - RS. This work should be viewed as a continuation of researches of Barnes and Lin et al.. We also apply these results obtained to B-Fredholm theory, extensions and Aluthge transforms.

关 键 词：REGULARITY SPECTRUM EXTENSION aluthge transform 

分 类 号：O177.2[理学—数学] TB852.1[理学—基础数学]