English

On complex symmetric block Toeplitz operators

Functional Analysis 2019-04-10 v1

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 HC22H_{{\mathbb C}^2}^2. As some applications, we provide examples of such operators.

Keywords

Cite

@article{arxiv.1904.04410,
  title  = {On complex symmetric block Toeplitz operators},
  author = {Dong-O Kang and Eungil Ko and Ji Eun Lee},
  journal= {arXiv preprint arXiv:1904.04410},
  year   = {2019}
}
R2 v1 2026-06-23T08:33:39.666Z