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<p>In this paper, we study property <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((UW_E)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>U</mi> <msub> <mi>W</mi> <mi>E</mi> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> for hypercyclic and supercyclic operators. The stability of variants of Weyl type theorems under compact perturbations for Toeplitz operators on the Bergman space is also studied. We also provide some examples of Toeplitz operators satisfying Weyl type theorems on the Bergman space and the harmonic Bergman space.</p>

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Weyl type theorems for hypercyclic, supercyclic, and Toeplitz operators

  • 期刊论文

  • 发表日期：

    2025年11月27日

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  • Simi Thomas,
  • Thankarajan Prasad,
  • Shery Fernandez

摘要

In this paper, we study property \((UW_E)\) ( U W E ) for hypercyclic and supercyclic operators. The stability of variants of Weyl type theorems under compact perturbations for Toeplitz operators on the Bergman space is also studied. We also provide some examples of Toeplitz operators satisfying Weyl type theorems on the Bergman space and the harmonic Bergman space.