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Path connected components in the space of weighted composition operators on the $QA$ space

Volume 243 / 2018

Kei Ji Izuchi, Yuko Izuchi Studia Mathematica 243 (2018), 251-267 MSC: Primary 47B33; Secondary 30H05. DOI: 10.4064/sm170209-18-8 Published online: 16 March 2018

Abstract

Path connected components of the space of weighted composition operators on the $QA$ space with the operator norm, with the essential operator norm and with the strong operator topology are studied. It is shown that the structures of these path connected components are the same as those of $H^\infty $.

Authors

  • Kei Ji IzuchiDepartment of Mathematics
    Niigata University
    Niigata 950-2181, Japan
    e-mail
  • Yuko IzuchiAsahidori 2-2-23, Yamaguchi 753-0051, Japan
    e-mail

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