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Commutativity in two-variable Jordan blocks on the Hardy space

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Abstract

Let M be an invariant subspace of the Hardy space H2 over the bidisk and N = H2 ⊖ M. It is revisited the study of M on which RzR*w = R*wRz and of N on which SzS*w = S*wSz.

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Author notes

  1. Kou Hei Izuchi

    Present address: Department of Mathematics, Faculty of Education, Yamaguchi University, Yamaguchi, 753-8511, Japan

Authors and Affiliations

  1. Department of Mathematics, Niigata University, Niigata, 950-2181, Japan

    Kei Ji Izuchi

  2. Department of Mathematics, Korea University, Seoul, 136-701, Korea

    Kou Hei Izuchi

Authors
  1. Kei Ji Izuchi
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  2. Kou Hei Izuchi
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Corresponding authors

Correspondence to Kei Ji Izuchi or Kou Hei Izuchi.

Additional information

Communicated by L. Kérchy

Partially supported by Grant-in-Aid for Scientific Research (No.21540166), Japan Society for the Promotion of Science.

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Izuchi, K.J., Izuchi, K.H. Commutativity in two-variable Jordan blocks on the Hardy space. ActaSci.Math. 78, 129–136 (2012). https://doi.org/10.1007/BF03651307

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  • DOI: https://doi.org/10.1007/BF03651307

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