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

被引：15

作者：

Zeng, Qing Ping ^{[1
]}

Zhong, Huai Jie ^{[1
]}

机构：

[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Regularity; spectrum; extension; aluthge transform; P-HYPONORMAL OPERATORS; FREDHOLM OPERATORS; AXIOMATIC THEORY; DESCENT; ASCENT; SPECTRUM;

D O I：

10.1007/s10114-013-1758-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1871 / 1884

页数：14

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