Conjugations on the Hardy space $H^{2}$

Published 31 Jan 2022 in math.FA | (2201.12962v1)

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.

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