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...

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书目详细资料
主要作者: Marcos S. Ferreira
格式: 文件
语言:English
出版: EJAAM 2021-12-01
丛编:E-Journal of Analysis and Applied Mathematics
主题:
在线阅读:https://ejaam.org/articles/2021/10.2478-ejaam-2021-0006.pdf