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Reducing Subspaces Associated with Finite Blaschke Products

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Multiplication Operators on the Bergman Space

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2145))

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Abstract

This chapter addresses on reducing subspaces associated with finite Blaschke products, which is the subject of current research receiving numerous attention. It was shown that for each finite Blaschke product B, there is always a nontrivial reducing subspace for M B , called the distinguished reducing subspace [GSZZ, HSXY].

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, China

    Kunyu Guo

  2. Department of Mathematics, East China University of Science and Technology, Shanghai, China

    Hansong Huang

Authors
  1. Kunyu Guo
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  2. Hansong Huang
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Guo, K., Huang, H. (2015). Reducing Subspaces Associated with Finite Blaschke Products. In: Multiplication Operators on the Bergman Space. Lecture Notes in Mathematics, vol 2145. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46845-6_4

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