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

被引：0
作者：
Qing Ping Zeng
Huai Jie Zhong
机构：
[1] Fujian Normal University,School of Mathematics and Computer Science
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Regularity; spectrum; extension; aluthge transform; 47A10; 47A11; 47A53; 47A55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：1871 / 1884
页数：13
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