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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| 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 |
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