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

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, exten...

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Veröffentlicht in:	Acta mathematica Sinica. English series 2013-10, Vol.29 (10), p.1871-1884
Hauptverfasser:	Zeng, Qing Ping, Zhong, Huai Jie
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Aluthge变换 Banach space Banach spaces Banach空间 EMD Linear operators lm型 Mathematical models Mathematics Mathematics and Statistics Studies Theorems Transforms 属性线性算子
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Zusammenfassung:	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.
ISSN:	1439-8516 1439-7617
DOI:	10.1007/s10114-013-1758-3