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Ural Mathematical Journal, 2017, Volume 3, Issue 2, Pages 22–32
DOI: https://doi.org/10.15826/umj.2017.2.004 (Mi umj39) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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
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DOI: https://doi.org/10.15826/umj.2017.2.004
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 $L_q$-space on a finite or infinite interval.
Keywords: Complex Banach space, Bounded linear functional on a subspace, Algebraic polynomial, Pointwise Nikol'skii inequality.
Funding agency Grant number
Ural Branch of the Russian Academy of Sciences 15-16-1-4
This work was supported by the Program of the Ural Branch of the Russian Academy of Sciences (project no. 15-16-1-4).
Bibliographic databases:
Document Type: Article
Language: English
Citation: Vitalii V. Arestov, “A characterization of extremal elements in some linear problems”, Ural Math. J., 3:2 (2017), 22–32
Citation in format AMSBIB
\Bibitem{Are17}
\by Vitalii~V.~Arestov
\paper A characterization of extremal elements in some linear problems
\jour Ural Math. J.
\yr 2017
\vol 3
\issue 2
\pages 22--32
\mathnet{http://mi.mathnet.ru/umj39}
\crossref{https://doi.org/10.15826/umj.2017.2.004}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR3746948}
\elib{https://elibrary.ru/item.asp?id=32334095}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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