V. V. Lokot', “Constants of Strong Uniqueness of Minimal Projections onto Hyperplanes in the Space $\ell _\infty ^n$ ($n\ge 3$)”, Mat. Zametki, 72:5 (2002), 723–728; Math. Notes, 72:5 (2002), 667

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Matematicheskie Zametki, 2002, Volume 72, Issue 5, Pages 723–728
DOI: https://doi.org/10.4213/mzm461 (Mi mzm461)

This article is cited in 9 scientific papers (total in 9 papers)

Constants of Strong Uniqueness of Minimal Projections onto Hyperplanes in the Space $\ell _\infty ^n$ ($n\ge 3$)

V. V. Lokot'

Murmansk State Pedagogical University

Full-text PDF (143 kB) Citations (9)

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DOI: https://doi.org/10.4213/mzm461

Abstract: In this paper, we obtain the maximum values of the constants of strong uniqueness of minimal projections with nonunit norm on hyperplanes in the space $\ell _\infty ^n$ ($n\ge 3$).

Received: 25.07.2001

English version:
Mathematical Notes, 2002, Volume 72, Issue 5, Pages 667–671
DOI: https://doi.org/10.1023/A:1021461106819

Bibliographic databases:

UDC: 513.88

Language: Russian

Citation: V. V. Lokot', “Constants of Strong Uniqueness of Minimal Projections onto Hyperplanes in the Space $\ell _\infty ^n$ ($n\ge 3$)”, Mat. Zametki, 72:5 (2002), 723–728; Math. Notes, 72:5 (2002), 667–671

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm461

https://doi.org/10.4213/mzm461

https://www.mathnet.ru/eng/mzm/v72/i5/p723

This publication is cited in the following 9 articles:

O. M. Martynov, “Projection constants of the $l_\infty^{2m}$ space”, Siberian Math. J., 64:1 (2023), 128–136
O. M. Martynov, “Proektsionnye konstanty prostranstva $l_\infty^{3m}$”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2022, no. 3, 76–90
Martynov O.M., “Constants of Strong Uniqueness of Minimal Projections Onto Some N-Dimensional Subspaces of l(Infinity)(2N )(N >= 2)”, J. Approx. Theory, 262 (2021), 105507
O. M. Martynov, “O silnoi edinstvennosti minimalnykh proektsii v prostranstve $l_\infty^9$”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2020, no. 4, 28–42
O. M. Martynov, “Proektsionnye konstanty nekotorogo klassa podprostranstv korazmernosti dva v prostranstve $l_\infty^{2n}$”, Funkts. analiz i ego pril., 53:3 (2019), 33–44
O. M. Martynov, “Projection Constants of a Class of Codimension-2 Subspaces in l2 n∞”, Funct Anal Its Appl, 53:3 (2019), 182
Deregowska B., Lewandowska B., “A Note on Generalized Projections in $c_0$”, Ann. Pol. Math., 111:1 (2014), 59–72
Lewicki G., Micek A., “Equality of Two Strongly Unique Minimal Projection Constants”, J. Approx. Theory, 162:12 (2010), 2278–2289
Odyniec, W, “A lower bound of the strongly unique minimal projection constant of l(infinity)(n), n >= 3”, Journal of Approximation Theory, 145:1 (2007), 111

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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