Antinormal Weighted Composition Operators

Abstract

Let l2=L2N,μ, where N is set of all positive integers and μ is the counting measure whose σ-algebra is the power set of N. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert space l2. We also determine a class of antinormal weighted composition operators on Hardy space H2D.