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On complex symmetric block Toeplitz operators

Published 9 Apr 2019 in math.FA | (1904.04410v1)

Abstract: 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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