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Spectrum of some weighted composition operators

  • Malihe Farzi Haromi
  • Mahmood Haji ShaabaniEmail author
Article
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Abstract

In this paper, we determine the spectrum of power compact weighted composition operators \(C_{\psi ,\varphi }\), on the weighted Hardy spaces. Moreover, we find the spectrum and essential spectrum of \(C_{\psi ,\varphi }\) on \(A^{2}_{\alpha }\) when \(\varphi \) is a non-automorphic linear-fractional self-map of \({\mathbb {D}}\).

Keywords

Hardy space weighted Bergman spaces weighted composition operator spectrum essential spectrum 

2000 Mathematics Subject Classification

Primary: 47B33 Secondary: 47A10 

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Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  1. 1.Department of MathematicsShiraz University of TechnologyShirazIran

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