Exterior products of operators and superoptimal analytic approximation
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, using exterior powers of operators in preference to spectral or Wiener–Masani factorizations.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-12-01
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| Series: | Transactions of the London Mathematical Society |
| Subjects: | |
| Online Access: | https://doi.org/10.1112/tlm3.12035 |
| _version_ | 1818362603800363008 |
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| author | Dimitrios Chiotis Zinaida A. Lykova N. J. Young |
| author_facet | Dimitrios Chiotis Zinaida A. Lykova N. J. Young |
| author_sort | Dimitrios Chiotis |
| collection | DOAJ |
| description | 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, using exterior powers of operators in preference to spectral or Wiener–Masani factorizations. |
| first_indexed | 2024-12-13T21:35:13Z |
| format | Article |
| id | doaj.art-625aeb5d06564162a9fe7687f4d18ed5 |
| institution | Directory Open Access Journal |
| issn | 2052-4986 |
| language | English |
| last_indexed | 2024-12-13T21:35:13Z |
| publishDate | 2021-12-01 |
| publisher | Wiley |
| record_format | Article |
| series | Transactions of the London Mathematical Society |
| spelling | doaj.art-625aeb5d06564162a9fe7687f4d18ed52022-12-21T23:30:41ZengWileyTransactions of the London Mathematical Society2052-49862021-12-018129941210.1112/tlm3.12035Exterior products of operators and superoptimal analytic approximationDimitrios Chiotis0Zinaida A. Lykova1N. J. Young2School of Mathematics, Statistics and Physics University of Newcastle Herschel Building Newcastle upon Tyne NE1 7RU United KingdomSchool of Mathematics, Statistics and Physics University of Newcastle Herschel Building Newcastle upon Tyne NE1 7RU United KingdomSchool of Mathematics, Statistics and Physics University of Newcastle Herschel Building Newcastle upon Tyne NE1 7RU United KingdomAbstract 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.https://doi.org/10.1112/tlm3.1203547B3530‐0830J9915A75 (primary) |
| spellingShingle | Dimitrios Chiotis Zinaida A. Lykova N. J. Young Exterior products of operators and superoptimal analytic approximation Transactions of the London Mathematical Society 47B35 30‐08 30J99 15A75 (primary) |
| title | Exterior products of operators and superoptimal analytic approximation |
| title_full | Exterior products of operators and superoptimal analytic approximation |
| title_fullStr | Exterior products of operators and superoptimal analytic approximation |
| title_full_unstemmed | Exterior products of operators and superoptimal analytic approximation |
| title_short | Exterior products of operators and superoptimal analytic approximation |
| title_sort | exterior products of operators and superoptimal analytic approximation |
| topic | 47B35 30‐08 30J99 15A75 (primary) |
| url | https://doi.org/10.1112/tlm3.12035 |
| work_keys_str_mv | AT dimitrioschiotis exteriorproductsofoperatorsandsuperoptimalanalyticapproximation AT zinaidaalykova exteriorproductsofoperatorsandsuperoptimalanalyticapproximation AT njyoung exteriorproductsofoperatorsandsuperoptimalanalyticapproximation |