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Quasisimilarity of Cowen-Douglas operators

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Abstract

This paper shows that every operator which is quasisimilar to strongly irreducible Cowen-Douglas operators is still strongly irreducible. This result answers a question posted by Davidson and Herrero (ref. [1]).

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Authors and Affiliations

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

    Chunlan Jiang & Hua He

  2. Department of Mathematics, Universtiy of Pueto Rico, 00931, PR, Rio Piedras San Juan, USA

    Chunlan Jiang

  3. Department of Mathematics, Hebei Normal University, 050016, Shijiazhuang, China

    Chunlan Jiang

Authors
  1. Chunlan Jiang
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  2. Hua He
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Correspondence to Hua He.

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Jiang, C., He, H. Quasisimilarity of Cowen-Douglas operators. Sci. China Ser. A-Math. 47, 297–310 (2004). https://doi.org/10.1360/03ys0046

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  • DOI: https://doi.org/10.1360/03ys0046

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