On the strong uniqueness of minimal projections in the space $l_\infty^9$
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2020), pp. 28-42
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In this paper we consider minimal projections of the space $l_\infty^9$ on some subspaces of codimension $3$. Relative projection constants are found for them, and in the case of a minimal projection with a unit norm, we find maximum value of the strong uniqueness constant.
Keywords:
space, subspace, projection operator, the constant of strong uniqueness.
Mots-clés : relative projection constant
Mots-clés : relative projection constant
@article{VTPMK_2020_4_a2,
author = {O. M. Martynov},
title = {On the strong uniqueness of minimal projections in the space $l_\infty^9$},
journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
pages = {28--42},
publisher = {mathdoc},
number = {4},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTPMK_2020_4_a2/}
}
TY - JOUR AU - O. M. Martynov TI - On the strong uniqueness of minimal projections in the space $l_\infty^9$ JO - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika PY - 2020 SP - 28 EP - 42 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTPMK_2020_4_a2/ LA - ru ID - VTPMK_2020_4_a2 ER -
%0 Journal Article %A O. M. Martynov %T On the strong uniqueness of minimal projections in the space $l_\infty^9$ %J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika %D 2020 %P 28-42 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTPMK_2020_4_a2/ %G ru %F VTPMK_2020_4_a2
O. M. Martynov. On the strong uniqueness of minimal projections in the space $l_\infty^9$. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2020), pp. 28-42. http://geodesic.mathdoc.fr/item/VTPMK_2020_4_a2/