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Similarity of multiplication operators on the Sobolev disk algebra

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Abstract

In this paper, we give a similarity classification for the multiplication operator M g on the Sobolev disk algebra \(R(\mathbb{D})\) with g analytic on the closure of the unit disk \(\mathbb{D}\).

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Authors and Affiliations

  1. Department of Mathematics, Hebei Normal University, Shijiazhuang, 050024, P. R. China

    Kui Ji & Rui Shi

  2. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, P. R. China

    Rui Shi

Authors
  1. Kui Ji
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  2. Rui Shi
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Corresponding author

Correspondence to Rui Shi.

Additional information

Supported by National Natural Science Foundation of China (Grant No. 10901046) and Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No. 201116)

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Ji, K., Shi, R. Similarity of multiplication operators on the Sobolev disk algebra. Acta. Math. Sin.-English Ser. 29, 789–800 (2013). https://doi.org/10.1007/s10114-013-1745-8

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  • DOI: https://doi.org/10.1007/s10114-013-1745-8

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