On cellular indecomposable property of semi-Fredholm operators

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Abstract

In this paper we prove that an operator with the cellular indecomposable property has no singular points in the semi-Fredholm domain. Besides its own interests, this fills a gap in [3]. Our proof relies on the 4 × 4 matrix model of semi-Fredholm operators [2].

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Cellular indecomposable property, Semi-Fredholm operator, Singular points

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