Conjugations on the Hardy space $H^2$

Abstract

A conjugation $C$ on a separable complex Hilbert space $\mathcal{H}$ is an antilinear operator that is isometric and involutive. In this notes, we characterize all conjugations on the Hardy-Hilbert space $H^2$ over the disk. In addition, we characterize complex symmetric Toeplitz operators with a special type of these conjugations.

6

References in corpus (1)

• Complex symmetric partial isometries