A lower bound of the strongly unique minimal projection constant of \(\ell ^n_\infty\), \(n\geqslant 3\)

DOI10.1016/j.jat.2006.08.001zbMath1120.46002OpenAlexW2073002358MaRDI QIDQ872002

Włodzimierz Odyniec, Michael Prophet

Publication date: 27 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.jat.2006.08.001

zbMATH Keywords

polytopestrongly unique minimal projectionstrongly unique projection constant

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Isometric theory of Banach spaces (46B04) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (5)

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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• Universality of the sections of cubes
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• Unique Minimality of Fourier Projections
• The Determination of Minimal Projections and Extensions in L 1
• On the existence and characterization of minimal projections.
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• Projection Constants and Spaces of Continuous Functions

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