Binormal block Toeplitz operators with matrix valued circulant symbols

TL;DR

This paper investigates the properties of binormal block Toeplitz operators with matrix-valued circulant symbols, explores their dilations, and analyzes their invariant subspaces, contributing to the understanding of their structure and behavior.

Contribution

It introduces new results on the binormality, dilations, and invariant subspaces of block Toeplitz operators with matrix-valued circulant symbols.

Findings

Characterization of binormality conditions

Construction of {\

Abstract

This paper focuses on the binormality of block Toeplitz operators with matrix valued circulant symbols. We also study some {\Gamma}-dilations of Toeplitz operators. Moreover, we also analyze the invariant subspace of Toeplitz operators with matrix-valued symbols.