On the Cellular Indecomposable Property of Semi-Fredholm Operators

Citation:

Guozheng CHENG,Xiang FANG.On the Cellular Indecomposable Property of Semi-Fredholm Operators[J].Chinese Annals of Mathematics B,2012,33(6):903~908
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Authors:

Guozheng CHENG; Xiang FANG;

Foundation:

the National Natural Science Foundation of China (No. 11101312) and the National Science Foundation (No. 0801174).
Abstract: The authors prove that an operator with the cellular indecomposable property has no singular points in the semi-Fredholm domain, by applying the 4 ×4 matrix model of semi-Fredholm operators due to Fang in 2004. This result fills a gap in the result of Olin and Thomson in 1984.

Keywords:

Cellular indecomposable property, Semi-Fredholm operator,Singular point

Classification:

47A53
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