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.
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)
