Constants of strong unicity of minimal projections onto some two-dimensional subspaces of \(l_{\infty}^{(4)}\)

DOI10.1006/JATH.2002.3714zbMath1374.41052OpenAlexW1969219531MaRDI QIDQ1680855

O. M. Martinov

Publication date: 17 November 2017

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2002.3714

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Uniqueness of best approximation (41A52)

Related Items (6)

A lower bound of the strongly unique minimal projection constant of \(\ell ^n_\infty\), \(n\geqslant 3\) ⋮ Some projections and their properties in the space $l^{mn}_{\infty }$ ($m\geq 2$, $n\geq 3$) ⋮ Equality of two strongly unique minimal projection constants ⋮ Projection constants of the \(l_{\infty}^{2m}\) space ⋮ Constants of strong uniqueness of minimal projections onto some $n$-dimensional subspaces of \(l_\infty^{2n}$ ($n \geq 2$) ⋮ Projection constants of a class of codimension-2 subspaces in \(l_\infty^{2 n}\)

Cites Work

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• Kolmogorov's type criteria for spaces of compact operators
• Minimal projections in Banach spaces. Problems of existence and uniqueness and their application
• Minimal projections on hyperplanes in sequence spaces
• Strongly unique minimal projections on hyperplanes
• Minimal projections onto subspaces of \(l_ \infty^{(n)}\) of codimension two
• Minimal projections onto two dimensional subspaces of \(l_ \infty^{(4)}\)

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