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arxiv: 1904.04410 · v1 · pith:PIXKI5REnew · submitted 2019-04-09 · 🧮 math.FA

On complex symmetric block Toeplitz operators

classification 🧮 math.FA
keywords operatorstoeplitzblockcomplexsymmetricapplicationscharacterizationconjugation
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In this paper, we study complex symmetry of Toeplitz operators and block Toeplitz operators. In particular, we give a characterization of complex symmetric block Toeplitz operators with the special conjugation on the vector-valued Hardy space $H_{{\mathbb C}^2}^2$. As some applications, we provide examples of such operators.

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