Some notes on complex symmetric operators

In this paper we show that every conjugation $C$ on the Hardy-Hilbert space $H^{2}$ is of type $C=T^{*}\mathcal{J} T$, where $T$ is an unitary operator and $\mathcal{J} f\left(z\right)=\overline{f\left(\overline{z}\right)}$ with $f\in H^{2}$. Moreover, we prove some relations of complex symmetry bet...

Full description

Saved in:
Bibliographic Details
Main Author: Marcos S. Ferreira
Format: Article
Language:English
Published: EJAAM 2021-12-01
Series:E-Journal of Analysis and Applied Mathematics
Subjects:
Online Access:https://ejaam.org/articles/2021/10.2478-ejaam-2021-0006.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!