Fredholm weighted composition operators

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Abstract

We show that Fredholm weighted composition operators on Lp-spaces with nonatomic measures are precisely the invertible ones. We also characterize the classes of Fredholm and invertible weighted composition operators on lp. Furthermore, the closedness of ranges and Fredholmness of these operators on Hp-spaces of the unit disk are investigated.

Original languageEnglish
Article numberOaM-13-10
Pages (from-to)169-186
Number of pages18
JournalOperators and Matrices
Volume13
Issue number1
DOIs
Publication statusPublished - Mar 2019

Keywords

  • Fredholm operators
  • Hardy spaces
  • Lebesgue spaces
  • Weighted composition operators

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