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Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory
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Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory
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Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory
Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory
eBook

Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory

2019
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Overview
In this paper, we study matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory. We first establish a criterion on the coprime-ness of two singular inner functions and obtain several properties of the Douglas-Shapiro-Shields factorizations of matrix functions of bounded type. We propose a new notion of tensored-scalar singularity, and then answer questions on Hankel operators with matrix-valued bounded type symbols. We also examine an interpolation problem related to a certain functional equation on matrix functions of bounded type; this can be seen as an extension of the classical Hermite-Fejér Interpolation Problem for matrix rational functions. We then extend the
Publisher
American Mathematical Society
ISBN
9781470436247, 1470436248