- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 3
- Product of matrix valued truncated Toeplitz operators
Product of matrix valued truncated Toeplitz operators
Authors : Muhammad Ahsan Khan
Pages : 700-711
Doi:10.15672/hujms.883318
View : 13 | Download : 5
Publication Date : 2022-06-01
Article Type : Research
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