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<p>We obtain some results about the spectrum and the semi-Fredholm spectrum of weighted isometric endomorphisms of uniform algebras. In particular, it follows from our results that in the case of analytic uniform algebras these spectra are connected rotation invariant subsets of the complex plane.</p>

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Spectrum of weighted composition operators. Part IX. The spectrum and essential spectra of some weighted composition operators on uniform algebras

  • 期刊论文

  • 发表日期：

    2025年5月14日

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  • Arkady Kitover,
  • Mehmet Orhon

摘要

We obtain some results about the spectrum and the semi-Fredholm spectrum of weighted isometric endomorphisms of uniform algebras. In particular, it follows from our results that in the case of analytic uniform algebras these spectra are connected rotation invariant subsets of the complex plane.