Generalized Crofoot transform and applications

Rewayat Khan; Aamir Farooq

doi:10.1515/conop-2022-0138

Generalized Crofoot transform and applications

Rewayat Khan, Aamir Farooq

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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) and T (Θ 1 ′, Θ 2 ′).

Original language	English (US)
Journal	Concrete Operators
Volume	10
Issue number	1
DOIs	https://doi.org/10.1515/conop-2022-0138
State	Published - Jan 1 2023
Externally published	Yes

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AB - 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) and T (Θ 1 ′, Θ 2 ′).

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Generalized Crofoot transform and applications

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