• Title/Summary/Keyword: Essentially Normaloid

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A Class of Normaloid Weighted Composition Operators on the Fock Space over ℂ

  • Santhoshkumar, Chandrasekaran;Veluchamy, Thirumalaisamy
    • Kyungpook Mathematical Journal
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    • v.61 no.4
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    • pp.889-896
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    • 2021
  • Let 𝜙 be an entire self map on ℂ and let 𝜓 be an entire function on ℂ. A weighted composition operator induced by 𝜙 with weight 𝜓 is given by C𝜓,𝜙. In this paper we investigate under what conditions the weighted composition operators C𝜓,𝜙 on the Fock space over ℂ induced by 𝜙 with weight of the form $k_c({\zeta})=e^{{\langle}{\zeta},c{\rangle}-{\frac{{\mid}c{\mid}^2}{2}}}$ is normaloid and essentially normaloid.