Exterior products of operators and superoptimal analytic approximation
Functional Analysis
2021-08-06 v3
Abstract
We give a new algorithm for the construction of the unique superoptimal analytic approximant of a given continuous matrix-valued function on the unit circle, making use of exterior powers of operators in preference to spectral or {\em Wiener-Masani} factorizations.
Keywords
Cite
@article{arxiv.2004.06415,
title = {Exterior products of operators and superoptimal analytic approximation},
author = {Dimitrios Chiotis and Zinaida Lykova and Nicholas Young},
journal= {arXiv preprint arXiv:2004.06415},
year = {2021}
}
Comments
118 pages. This version includes minor revisions. It has been accepted for publication by the Transactions of the London Mathematical Society