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On complex symmetric block Toeplitz operators (1904.04410v1)
Published 9 Apr 2019 in math.FA
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.