A time-varying generalization of the canonical factorization theorem for Toeplitz operators

A. Ben-Artzi; I. Gohberg; M. A. Kaashoek

doi:10.1016/0019-3577(93)90010-V

A time-varying generalization of the canonical factorization theorem for Toeplitz operators

A. Ben-Artzi^*, I. Gohberg, M. A. Kaashoek

^*Corresponding author for this work

School of Mathematical Sciences

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

5 Scopus citations

Abstract

The canonical factorization theorem for the symbol of a Toeplitz operator is generalized to a class of non-Toeplitz operators. The operators in this class may be described as input-output operators of time-varying linear systems. Dichotomy of difference equations plays an important role.

Original language	English
Pages (from-to)	385-405
Number of pages	21
Journal	Indagationes Mathematicae
Volume	4
Issue number	4
DOIs	https://doi.org/10.1016/0019-3577(93)90010-V
State	Published - 20 Dec 1993

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title = "A time-varying generalization of the canonical factorization theorem for Toeplitz operators",

abstract = "The canonical factorization theorem for the symbol of a Toeplitz operator is generalized to a class of non-Toeplitz operators. The operators in this class may be described as input-output operators of time-varying linear systems. Dichotomy of difference equations plays an important role.",

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AU - Kaashoek, M. A.

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N2 - The canonical factorization theorem for the symbol of a Toeplitz operator is generalized to a class of non-Toeplitz operators. The operators in this class may be described as input-output operators of time-varying linear systems. Dichotomy of difference equations plays an important role.

AB - The canonical factorization theorem for the symbol of a Toeplitz operator is generalized to a class of non-Toeplitz operators. The operators in this class may be described as input-output operators of time-varying linear systems. Dichotomy of difference equations plays an important role.

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A time-varying generalization of the canonical factorization theorem for Toeplitz operators

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