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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 1, Pages 152–161
DOI: https://doi.org/10.33048/smzh.2023.64.114 (Mi smj7753) 		 
Projection constants of the $l_\infty^{2m}$ space

O. M. Martynov

Zhukov Air and Space Defense Academy, Tver
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DOI: https://doi.org/10.33048/smzh.2023.64.114
Abstract: We consider the norm-one projections of the $l_\infty^{2m}$ space onto some class of subspaces of codimension $m$ which are formed by hyperplanes in $l_\infty^{2m}$. Also, we find the relative projection constants and maximal values of strong uniqueness constants.
Keywords: projection, space, subspace, strong uniqueness constant, relative projection constant.
Received: 09.04.2022
Revised: 09.04.2022
Accepted: 15.08.2022
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 1, Pages 128–136
DOI: https://doi.org/10.1134/S0037446623010147
Document Type: Article
UDC: 513.88
Language: Russian
Citation: O. M. Martynov, “Projection constants of the $l_\infty^{2m}$ space”, Sibirsk. Mat. Zh., 64:1 (2023), 152–161; Siberian Math. J., 64:1 (2023), 128–136
Citation in format AMSBIB
\Bibitem{Mar23}
\by O.~M.~Martynov
\paper Projection constants of the $l_\infty^{2m}$ space
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 1
\pages 152--161
\mathnet{http://mi.mathnet.ru/smj7753}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 1
\pages 128--136
\crossref{https://doi.org/10.1134/S0037446623010147}
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