On the Cellular Indecomposable Property of Semi-Fredholm Operators
Authors:
Guozheng CHENG and Xiang FANG
Affiliation:
1. School of Mathematics, Wenzhou University, Wenzhou 325035, Zhejiang, China 2. Department of Mathematics, Kansas State University, Manhattan, KS, 66502, USA
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.