Characterizations of matrix valued asymmetric truncated Hankel operators

TL;DR

This paper introduces and characterizes matrix valued asymmetric truncated Hankel operators, extending the theory of Toeplitz operators to a new class with specific symmetry properties.

Contribution

It provides a novel characterization of matrix valued asymmetric truncated Hankel operators using inner matrices that are J-symmetric, expanding the theoretical framework.

Findings

Characterization of matrix valued asymmetric truncated Hankel operators.

Connection to matrix valued asymmetric truncated Toeplitz operators.

Use of J-symmetry in the characterization.

Abstract

In this paper we introduce the class of matrix valued asymmetric truncated Hankel operators. By using characterizations of matrix valued asymmetric truncated Toeplitz operators, we characterize matrix valued asymmetric truncated Hankel operators in the case when two involved inner matrices are J-symmetric.