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The lattices of invariant subspaces of a class of operators on the Hardy space

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Abstract

In the authors’ first paper, a Beurling-Rudin-Korenbljum type characterization of the closed ideals in a certain algebra of holomorphic functions was used to describe the lattice of invariant subspaces of the shift plus a complex Volterra operator. The current work is an extension of the previous work and it describes the lattice of invariant subspaces of the shift plus a positive integer multiple of the complex Volterra operator on the Hardy space. Our work was motivated by a paper by Ong who studied the real version of the same operator.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Toledo, Toledo, OH, USA

    Željko Čučković

  2. Mathematics and Computer Science Department, Central State University, Wilberforce, OH, USA

    Bhupendra Paudyal

Authors
  1. Željko Čučković
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  2. Bhupendra Paudyal
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Correspondence to Bhupendra Paudyal.

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Čučković, Ž., Paudyal, B. The lattices of invariant subspaces of a class of operators on the Hardy space. Arch. Math. 110, 477–486 (2018). https://doi.org/10.1007/s00013-017-1142-0

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  • DOI: https://doi.org/10.1007/s00013-017-1142-0

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