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<p>In this paper, we have studied the hyponormality and normality of the operators of the type <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(wC_{\varphi }+T_{\psi }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>w</mi> <msub> <mi>C</mi> <mi>φ</mi> </msub> <mo>+</mo> <msub> <mi>T</mi> <mi>ψ</mi> </msub> </mrow> </math></EquationSource> </InlineEquation> where <i>w</i> is any non-zero complex number and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(C_{\varphi }, T_{\psi } \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>C</mi> <mi>φ</mi> </msub> <mo>,</mo> <msub> <mi>T</mi> <mi>ψ</mi> </msub> </mrow> </math></EquationSource> </InlineEquation> are composition and Toeplitz operators, respectively. We have also studied hyponormality when the symbols of Toeplitz and composition operators are linear functionals.</p>

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Hyponormality of the sum of Composition and Toeplitz operators

  • 期刊论文

  • 发表日期：

    2026年1月8日

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  • Anuradha Gupta,
  • Kajal Negi

摘要

In this paper, we have studied the hyponormality and normality of the operators of the type \(wC_{\varphi }+T_{\psi }\) w C φ + T ψ where w is any non-zero complex number and \(C_{\varphi }, T_{\psi } \) C φ , T ψ are composition and Toeplitz operators, respectively. We have also studied hyponormality when the symbols of Toeplitz and composition operators are linear functionals.