New results on common properties of bounded linear operators RS and SR

作者：Zeng, Qing Ping^*; Zhong, Huai Jie

来源：Acta Mathematica Sinica-English Series, 2013, 29(10): 1871-1884.

DOI：10.1007/s10114-013-1758-3

• Regularity
• spectrum
• extension
• aluthge transform

Let X, Y be Banach spaces, R: X -> Y and S: Y -> X be bounded linear operators. When lambda not equal 0, we investigate common properties of lambda I - SR and lambda 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.

• 出版日期2013-10
• 单位福建师范大学