On the Cellular Indecomposable Property of Semi-Fredholm Operators

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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.
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