New results on common properties of bounded linear operators RS and SR
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- Zeng, Q.P. & Zhong, H.J. Acta. Math. Sin.-English Ser. (2013) 29: 1871. doi:10.1007/s10114-013-1758-3
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Let X, Y be Banach spaces, R: X → Y and S: Y → X be bounded linear operators. When λ ≠ 0, we investigate common properties of λI − SR and λI − 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.