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arXiv · 2201.12962

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

Marcos S. Ferreira·Geraldo de A. Júnior
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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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Marcos S. Ferreira, Geraldo de A. Júnior. 2022-01-31. Conjugations on the Hardy space $H^{2}$. https://doi.org/10.17654/0975291922003

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