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Topological Structure of the Space of Weighted Composition Operators on H ∞

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Abstract.

We study properties of the topological space of weighted composition operators on the space of bounded analytic functions on the open unit disk in the uniform operator topology. Moreover, we characterize the compactness of differences of two weighted composition operators.

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Authors and Affiliations

  1.  ,  

    Takuya Hosokawa

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

    Keiji Izuchi

  3. Nippon Institute of Technology, Miyashiro, Minami-Saitama, 345-8501, Japan

    Shûichi Ohno

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  1. Takuya Hosokawa
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  2. Keiji Izuchi
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  3. Shûichi Ohno
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Correspondence to Takuya Hosokawa.

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Hosokawa, T., Izuchi, K. & Ohno, S. Topological Structure of the Space of Weighted Composition Operators on H ∞ . Integr. equ. oper. theory 53, 509–526 (2005). https://doi.org/10.1007/s00020-004-1337-1

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  • DOI: https://doi.org/10.1007/s00020-004-1337-1

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