Conjugations on the Hardy space $H^{2}$
Functional Analysis
2022-11-23 v1
Abstract
A conjugation on a separable complex Hilbert space is an antilinear operator that is isometric and involutive. In this notes, we characterize all conjugations on the Hardy-Hilbert space over the disk. In addition, we characterize complex symmetric Toeplitz operators with a special type of these conjugations.
Cite
@article{arxiv.2201.12962,
title = {Conjugations on the Hardy space $H^{2}$},
author = {Marcos S. Ferreira and Geraldo de A. Júnior},
journal= {arXiv preprint arXiv:2201.12962},
year = {2022}
}
Comments
6