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On the cellular indecomposable property of semi-Fredholm operators

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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.

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References

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Authors and Affiliations

  1. School of Mathematics, Wenzhou University, Wenzhou, 325035, Zhejiang, China

    Guozheng Cheng

  2. Department of Mathematics, Kansas State University, Manhattan, KS, 66502, USA

    Xiang Fang

Authors
  1. Guozheng Cheng
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  2. Xiang Fang
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Corresponding author

Correspondence to Guozheng Cheng.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11101312) and the National Science Foundation (No. 0801174).

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Cheng, G., Fang, X. On the cellular indecomposable property of semi-Fredholm operators. Chin. Ann. Math. Ser. B 33, 903–908 (2012). https://doi.org/10.1007/s11401-012-0744-x

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  • DOI: https://doi.org/10.1007/s11401-012-0744-x

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