Open AccessExterior products of operators and superoptimal analytic approximation
Author(s) -
Chiotis Dimitrios,
Lykova Zinaida A.,
Young N. J.
Publication year - 2021
Publication title -
transactions of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.43
H-Index - 7
ISSN - 2052-4986
DOI - 10.1112/tlm3.12035
Subject(s) - unit circle , mathematics , unit (ring theory) , spectral theorem , analytic function , function (biology) , algebra over a field , pure mathematics , operator theory , mathematical analysis , mathematics education , evolutionary biology , biology
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.