On the cellular indecomposable property of semi-Fredholm operators

Guozheng Cheng, Xiang Fang

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)903-908
Number of pages6
JournalChinese Annals of Mathematics. Series B
Issue number6
StatePublished - Nov 2012


  • Cellular indecomposable property
  • Semi-Fredholm operator
  • Singular point


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