Abstract
We consider the numerical range of a bounded weighted composition operator on the Fock space , where the entire function φ must have the form az + b with a and b in and . We obtain necessary and sufficient conditions for to be a subset of the interior of the numerical range of , where p is the fixed point of φ. We characterize when 0 belongs to the numerical range of a weighted composition operator and determine which weighted composition operators have numerical ranges with no corner points. Furthermore, we describe the corner points of the closure of the numerical range of a compact weighted composition operator. Moreover, we precisely determine the numerical range of when .
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