# On complex symmetric block Toeplitz operators

## TL;DR

This paper characterizes complex symmetric block Toeplitz operators on vector-valued Hardy spaces, providing theoretical insights and concrete examples of such operators.

## Contribution

It offers a new characterization of complex symmetric block Toeplitz operators with a specific conjugation on vector-valued Hardy spaces.

## Key findings

- Characterization of complex symmetric block Toeplitz operators
- Examples of such operators on vector-valued Hardy spaces
- Insights into the structure of these operators

## 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.