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Nilpotent operators similar to irreducible operators

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Abstract

We give a necessary and sufficient condition for the nilpotent operators to be similiar to irreducible operators, and give an answer to D. A. Herrero Conjectures for nilpotent operators.

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Authors and Affiliations

  1. Department of Applied Mathematics, Hebei University of Technology, 300130, Tianjin, China

    Chunlan Jiang, Xianzhou Guo & Yongfa Yang

  2. Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080, Beijing, China

    Chunlan Jiang

Authors
  1. Chunlan Jiang
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  2. Xianzhou Guo
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  3. Yongfa Yang
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Correspondence to Chunlan Jiang.

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Jiang, C., Guo, X. & Yang, Y. Nilpotent operators similar to irreducible operators. Sci. China Ser. A-Math. 44, 1544–1557 (2001). https://doi.org/10.1007/BF02880794

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  • DOI: https://doi.org/10.1007/BF02880794

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