HYPERPLANES OF FINITE-DIMENSIONAL NORMED SPACES WITH THE MAXIMAL RELATIVE PROJECTION CONSTANT

DOI10.1017/S0004972715000088zbMath1318.41014arXiv1411.6214MaRDI QIDQ5253347

Tomasz Kobos

Publication date: 5 June 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6214

zbMATH Keywords

minimal projectionrelative projection constantfinite-dimensional normed space.4

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (2)

A uniform estimate of the relative projection constant ⋮ Approximate symmetry of Birkhoff orthogonality

Cites Work

• Projections of normed linear spaces with closed subspaces of finite codimension as kernels
• Three-dimensional subspace of \(l^{(5)}_\infty\) with maximal projection constant
• Projections onto hyperplanes in Banach spaces
• Minimal projections on hyperplanes in sequence spaces
• Minimal projections in \(\mathcal L_1\)-spaces
• Norms of minimal projections
• Symmetric spaces with maximal projection constants
• Convex regions and projections in Minkowski spaces
• Lower bounds for the norms of projections with small kernels
• Projection constants of symmetric spaces and variants of Khintchine's inequality

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