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arXiv · 2108.06945

Characterization of C-Symmetric Toeplitz operators for a Class of Conjugations in Hardy Spaces

Arup Chattopadhyay·Soma Das·Chandan Pradhan·Srijan Sarkar
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Abstract

In this article, we introduce a new class of conjugations in the scalar valued Hardy space $H^2_{\mathbb{C}}(\mathbb{D})$ and provide a characterization of a complex symmetric Toeplitz operator $T_{\phi}$ with respect to these newly introduced conjugations in various cases. Moreover, we obtain a characterization of a complex symmetric block Toeplitz operator $T_{\Phi}$ on the vector valued Hardy space $\hdct$ with respect to certain conjugations introduced in \cite{CamaGP,KangKoLee,LeeKo2019}.

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Arup Chattopadhyay, Soma Das, Chandan Pradhan, Srijan Sarkar. 2021-08-16. Characterization of C-Symmetric Toeplitz operators for a Class of Conjugations in Hardy Spaces. https://arxiv.org/abs/2108.06945

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