A CHARACTERIZATION OF EXTREMAL ELEMENTS IN SOME LINEAR PROBLEMS

Vitalii V. Arestov

doi:10.15826/umj.2017.2.004

A CHARACTERIZATION OF EXTREMAL ELEMENTS IN SOME LINEAR PROBLEMS

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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 Lq-space on a finite or infinite interval.

Язык оригинала	Английский
Страницы (с-по)	22-32
Журнал	Ural Mathematical Journal
Том	3
Номер выпуска	2 (5)
DOI	https://doi.org/10.15826/umj.2017.2.004
Состояние	Опубликовано - 2017

ГРНТИ

27.00.00 МАТЕМАТИКА

Уровень публикации

Перечень ВАК

Ссылки

10.15826/umj.2017.2.004

https://elibrary.ru/item.asp?id=32334095

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