Projection constants of the $l_\infty^{2m}$ space

O. M. Martynov

Zhukov Air and Space Defense Academy, Tver

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.

UDC: 513.88

Received: 09.04.2022
Revised: 09.04.2022
Accepted: 15.08.2022

DOI: 10.33048/smzh.2023.64.114

 English version: Siberian Mathematical Journal, 2023, 64:1, 128–136