Exterior products of operators and superoptimal analytic approximation

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, using exterior powers of operators in preference to spectral or Wiener–Masani factorizations.

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Bibliographic Details
Published in:Transactions of the London Mathematical Society 2021-12, Vol.8 (1), p.299-412
Main Authors: Chiotis, Dimitrios, Lykova, Zinaida A., Young, N. J.
Format: Article
Language:English
Subjects:
15A75 (primary)
30J99
30‐08
47B35
Algorithms
Approximation
Banach spaces
Continuity (mathematics)
Control theory
Eigenvalues
Engineering
Engineers
Operators (mathematics)
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Description
Summary: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, using exterior powers of operators in preference to spectral or Wiener–Masani factorizations.
ISSN:2052-4986
2052-4986
DOI:10.1112/tlm3.12035