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<p>In this paper, we give some results on two new variants of the classical Weyl type theorems for operators defined on Banach spaces. We investigate the relationship between these variants, and we also give some perturbation results. In the last part the theory is applied to Toeplitz operators on Hardy spaces with continuous symbol.</p>

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Further Results on Two Stronger Variants of Weyl’s Theorem

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月10日

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  • Pietro Aiena,
  • Fabio Burderi,
  • Salvatore Triolo

摘要

In this paper, we give some results on two new variants of the classical Weyl type theorems for operators defined on Banach spaces. We investigate the relationship between these variants, and we also give some perturbation results. In the last part the theory is applied to Toeplitz operators on Hardy spaces with continuous symbol.