Block Toeplitz Operators, Matrix Valued Truncated Toeplitz operators, and Conjugations

Abstract

In this paper, we characterize the complex symmetry of block Toeplitz operators on the Hardy-Hilbert space H2(E) with conjugation C_{u,λ}, where E is a finite dimensional Hilbert space. We also extend the application of this conjugation to matrix valued truncated Toeplitz operators.