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- W3208347798 abstract "A class of conjugations related to model space for a given inner function has been introduced as a generalization of natural conjugations in $L^2(T)$. In this article, we explicitly determine the class of conjugations commuting with $M_{z^2}$ or make $M_{z^2}$ complex symmetric by identifying the commutant of the multiplication operator $M_{B}$ in $L^2(T)$, where $B$ is a finite Blaschke product. Moreover, we analyze their properties while keeping the whole Hardy space, model space, and Beurling type subspaces invariant. Furthermore, we also extended our study in the case of finite Blaschke. In particular, our results generalize the related results obtained in cite{CAMARA1,CAMARA2}." @default.
- W3208347798 created "2021-11-08" @default.
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- W3208347798 date "2021-10-24" @default.
- W3208347798 modified "2023-09-23" @default.
- W3208347798 title "Conjugations commuting and intertwining with $M_{B}$ in $bm{L^2(T)}$" @default.
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