Abstract

In this paper, we consider unbounded weighted composition operators acting on Fock space, and investigate some important properties of these operators, such as $\mathcal {C}$ -selfadjoint (with respect to weighted composition conjugations), Hermitian, normal, and cohyponormal. In addition, the paper shows that unbounded normal weighted composition operators are contained properly in the class of $\mathcal {C}$ -selfadjoint operators with respect to weighted composition conjugations.

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