Affiliation:
1. Department of Mathematics, Abbottabad University of Science and Technology , Abbottabad 22020 , Pakistan
Abstract
Abstract
Matrix-valued asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These are the generalization of matrix-valued truncated Toeplitz operators. In this article, we describe symbols of matrix-valued asymmetric truncated Toeplitz operators equal to the zero operator. We also use generalized Crofoot transform to find a connection between the symbols of matrix-valued asymmetric truncated Toeplitz operators
T
(
Θ
1
,
Θ
2
)
{\mathcal{T}}\left({\Theta }_{1},{\Theta }_{2})
and
T
(
Θ
1
′
,
Θ
2
′
)
{\mathcal{T}}\left({\Theta }_{1}^{^{\prime} },{\Theta }_{2}^{^{\prime} })
.
Subject
Applied Mathematics,Analysis