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<p>We determine the spectra and eigenvectors of some generalized Volterra-type integral operators on Fock spaces. As a means to prove one of the main results, we first establish an interesting connection between the spectral of the operators and weighted composition operators acting on some appropriate class of Fock spaces. As an application of the spectral results, we examine the dynamics of the operators and provide a characterization of some power bounded integral operators.</p>

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Spectra and Power Boundedness of Volterra-Type Integral Operators on Fock Spaces

  • 期刊论文

  • 发表日期：

    2025年3月17日

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  • Zenaw Asnake Fekadiea,
  • Tesfa Mengestie,
  • Mollalgn Haile Takele

摘要

We determine the spectra and eigenvectors of some generalized Volterra-type integral operators on Fock spaces. As a means to prove one of the main results, we first establish an interesting connection between the spectral of the operators and weighted composition operators acting on some appropriate class of Fock spaces. As an application of the spectral results, we examine the dynamics of the operators and provide a characterization of some power bounded integral operators.