Antinormal weighted composition operators (Q1669246)

Summary: Let \(l^2 = L^2 \left(\mathbb{N}, \mu\right)\), where \(\mathbb{N}\) is set of all positive integers and \(\mu\) is the counting measure whose \(\sigma\)-algebra is the power set of \(\mathbb{N}\). In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert space \(l^2\). We also determine a class of antinormal weighted composition operators on Hardy space \(H^2 \left(\mathbb{D}\right)\).