ISSN: 2310-757X
Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/93087| Title: | A Characterization of Extremal Elements in Some Linear Problems |
| Authors: | Arestov, V. V. |
| Issue Date: | 2017 |
| Publisher: | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N. Yeltsin |
| Citation: | Arestov V. V. A Characterization of Extremal Elements in Some Linear Problems / V. V. Arestov. — DOI 10.15826/umj.2017.2.004. — Text : electronic // Ural Mathematical Journal. — 2017. — Volume 3. — № 2. — P. 22-32. |
| Abstract: | We give a characterization of elements of a subspace of a complex Banach space with the property that the norm of a bounded linear functional on the subspace is attained at those elements. In particular, we discuss properties of polynomials that are extremal in sharp pointwise Nikol'skii inequalities for algebraic polynomials in a weighted Lq-space on a finite or infinite interval. |
| Keywords: | COMPLEX BANACH SPACE BOUNDED LINEAR FUNCTIONAL ON A SUBSPACE ALGEBRAIC POLYNOMIAL POINTWISE NIKOL'SKII INEQUALITY |
| URI: | http://elar.urfu.ru/handle/10995/93087 |
| Access: | Creative Commons Attribution License |
| License text: | https://creativecommons.org/licenses/by/4.0/ |
| ISSN: | 2414-3952 |
| DOI: | 10.15826/umj.2017.2.004 |
| Sponsorship: | This work was supported by the Program of the Ural Branch of the Russian Academy of Sciences (project no. 15-16-1-4). The author is grateful to Professor P.A. Borodin for useful and fruitful discussions of the topic of geometry of complex Banach spaces. The authoris thankful to the referees who carefully read the paper and made a number of useful suggestions. |
| Origin: | Ural Mathematical Journal. 2017. Volume 3. № 2 |
| Appears in Collections: | Ural Mathematical Journal |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| umj_2017_3_2_22-32.pdf | 203,69 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License
