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arXiv:1709.08616 [math.FA]AbstractReferencesReviewsResources

Some Notes on Complex Symmetric Operators

Marcos S. Ferreira

Published 2017-09-25Version 1

In this paper we show that every conjugation $C$ on the Hardy-Hilbert space $H^{2}$ is of type $C=T^{*}C_{1}T$, where $T$ is an topological linear isomorphism and $C_{1}f\left(z\right)=\overline{f\left(\overline{z}\right)}$, with $f\in H^{2}$. Moreover, we give a necessary and sufficient condition for two conjugations of a complex symmetric symmetric Toeplitz operator to be commutative.

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