Product of matrix valued truncated Toeplitz operators

Year 2022, Volume: 51 Issue: 3, 700 - 711, 01.06.2022

Muhammad Ahsan Khan

https://doi.org/10.15672/hujms.883318

Cited By: 1

Abstract

Let $A_\Phi$ be a matrix valued truncated Toeplitz operator -- the compression of multiplication operator to the vector valued model space $H^2(E)\ominus \Theta H^2(E)$, where $\Theta$ is a matrix valued non constant inner function. Under supplementary assumptions, we find necessary and sufficient condition that the product $A_\Phi A_\Psi$ is itself a matrix valued truncated Toeplitz operator.

Keywords

model spaces, truncated Toeplitz operator, inner function

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