A Characterization of Extremal Elements in Some Linear Problems

Arestov, V. V.

doi:10.15826/umj.2017.2.004

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Поле DC	Значение	Язык
dc.contributor.author	Arestov, V. V.	en
dc.date.accessioned	2020-10-30T12:54:01Z	-
dc.date.available	2020-10-30T12:54:01Z	-
dc.date.issued	2017	-
dc.identifier.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.	en
dc.identifier.issn	2414-3952	-
dc.identifier.uri	http://elar.urfu.ru/handle/10995/93087	-
dc.description.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.	en
dc.description.sponsorship	This work was supported by the Program of the Ural Branch of the Russian Academy of Sciences (project no. 15-16-1-4).	en
dc.description.sponsorship	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.	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences	en
dc.publisher	Ural Federal University named after the first President of Russia B.N. Yeltsin	en
dc.relation.ispartof	Ural Mathematical Journal. 2017. Volume 3. № 2	en
dc.rights	Creative Commons Attribution License	en
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	-
dc.subject	COMPLEX BANACH SPACE	en
dc.subject	BOUNDED LINEAR FUNCTIONAL ON A SUBSPACE	en
dc.subject	ALGEBRAIC POLYNOMIAL	en
dc.subject	POINTWISE NIKOL'SKII INEQUALITY	en
dc.title	A Characterization of Extremal Elements in Some Linear Problems	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.identifier.doi	10.15826/umj.2017.2.004	-
local.description.firstpage	22	-
local.description.lastpage	32	-
local.issue	2	-
local.volume	3	-
Располагается в коллекциях:	Ural Mathematical Journal

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