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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
A characterization of extremal elements in some linear problems
Vitalii V. Arestovab a Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University, Ekaterinburg
Аннотация:
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 $L_q$-space on a finite or infinite interval.
Ключевые слова:
Complex Banach space, Bounded linear functional on a subspace, Algebraic polynomial, Pointwise Nikol'skii inequality.
Образец цитирования:
Vitalii V. Arestov, “A characterization of extremal elements in some linear problems”, Ural Math. J., 3:2 (2017), 22–32
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/umj39 https://www.mathnet.ru/rus/umj/v3/i2/p22
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Страница аннотации: | 266 | PDF полного текста: | 90 | Список литературы: | 48 |
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