Antinormal weighted composition operators on L2(μ) - space of an atomic measure space

Abstract

Let L2(μ) denote the separable Hilbert space associated with a σ-finite atomic measure μ. In this paper, we determine necessary and sufficient conditions for boundedness of weighted composition transformation on L2(μ) and give a characterization of antinormal weighted composition operators on L2(μ). © 2018, The Author(s).