Onn-widths of bounded periodic holomorphic functions
The even-dimensional Kolmogorov widthsd 2n , Gel'fand widthsd 2n , and linear widths δ2n ofà inL q andC are determined exactly. We show that all threen-widths are equal and give a characterization of the widths in terms of Blaschke products.
Gespeichert in:
| Datum: | 1995 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5516 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511746292187136 |
|---|---|
| author | Wilderotter, К. Вільдероттер, К. |
| author_facet | Wilderotter, К. Вільдероттер, К. |
| author_sort | Wilderotter, К. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:12:37Z |
| description | The even-dimensional Kolmogorov widthsd 2n , Gel'fand widthsd 2n , and linear widths δ2n ofà inL q andC are determined exactly. We show that all threen-widths are equal and give a characterization of the widths in terms of Blaschke products. |
| first_indexed | 2026-03-24T03:17:47Z |
| format | Article |
| fulltext |
0018
0019
0020
0021
0022
0023
|
| id | umjimathkievua-article-5516 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:17:47Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/db/5daa43df1e0172857700a7713b72eedb.pdf |
| spelling | umjimathkievua-article-55162020-03-19T09:12:37Z Onn-widths of bounded periodic holomorphic functions Onn-widths of bounded periodic holomorphic functions Wilderotter, К. Вільдероттер, К. The even-dimensional Kolmogorov widthsd 2n , Gel'fand widthsd 2n , and linear widths δ2n ofà inL q andC are determined exactly. We show that all threen-widths are equal and give a characterization of the widths in terms of Blaschke products. Точно визначені колмогоровські поперечники $d_{2n}$, поперечники Гельфанда $d^{2n}$ та лінійні поперечники $δ_{2n}$ звуження $A$ в просторах $L_q$ і $С$. Показано, що всі ці $n$-поперечники рівні та наведено характеристики цих поперечників у термінах добутків Бляшке. Institute of Mathematics, NAS of Ukraine 1995-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5516 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 9 (1995); 1170–1175 Український математичний журнал; Том 47 № 9 (1995); 1170–1175 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5516/7720 https://umj.imath.kiev.ua/index.php/umj/article/view/5516/7721 Copyright (c) 1995 Wilderotter К. |
| spellingShingle | Wilderotter, К. Вільдероттер, К. Onn-widths of bounded periodic holomorphic functions |
| title | Onn-widths of bounded periodic holomorphic functions |
| title_alt | Onn-widths of bounded periodic holomorphic functions |
| title_full | Onn-widths of bounded periodic holomorphic functions |
| title_fullStr | Onn-widths of bounded periodic holomorphic functions |
| title_full_unstemmed | Onn-widths of bounded periodic holomorphic functions |
| title_short | Onn-widths of bounded periodic holomorphic functions |
| title_sort | onn-widths of bounded periodic holomorphic functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5516 |
| work_keys_str_mv | AT wilderotterk onnwidthsofboundedperiodicholomorphicfunctions AT vílʹderotterk onnwidthsofboundedperiodicholomorphicfunctions |