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Spectrum of some weighted composition operators

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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 \({\mathbb {D}}\).

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Authors and Affiliations

  1. Department of Mathematics, Shiraz University of Technology, P.O. Box 71555-313, Shiraz, Iran

    Malihe Farzi Haromi & Mahmood Haji Shaabani

Authors
  1. Malihe Farzi Haromi
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  2. Mahmood Haji Shaabani
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Correspondence to Mahmood Haji Shaabani.

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Communicating Editor: Gadadhar Misra

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Haromi, M.F., Shaabani, M.H. Spectrum of some weighted composition operators. Proc Math Sci 129, 51 (2019). https://doi.org/10.1007/s12044-019-0495-7

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  • DOI: https://doi.org/10.1007/s12044-019-0495-7

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