On the dimension of the set of minimal projections

DOI10.1016/j.jmaa.2023.127250zbMath1529.41001arXiv2211.14008OpenAlexW4360603806MaRDI QIDQ6062996

Tomasz Kobos, Grzegorz Lewicki

Publication date: 6 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.14008

zbMATH Keywords

polyhedral normminimal projectionaffine dimensionChalmers-Metcalf operator

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Interpolation in approximation theory (41A05)

Cites Work

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• Minimal projections onto hyperplanes in \(\ell_p^n\)
• Three-dimensional subspace of \(l^{(5)}_\infty\) with maximal projection constant
• On the non-uniqueness of minimal projection in \(L_p\) spaces
• Minimal projections on hyperplanes in sequence spaces
• Differentiable families of subspaces
• Minimal projections onto two dimensional subspaces of \(l_ \infty^{(4)}\)
• On minimal projections in \(l_{\infty}^{(n)}\)
• Codimension 1 minimal projections onto the lines in \(L^p\)
• The Chalmers-Metcalf operator and minimal extensions
• Computation of maximal projection constants
• Minimal projections onto hyperplanes in vector-valued sequence spaces
• Chalmers-Metcalf operator and uniqueness of minimal projections
• Projecting onto cycles in smooth, reflexive Banach spaces
• Determination of a minimal projection fromC[-1, 1 onto the quadratics]
• A proof of the Grünbaum conjecture
• Projection Constants
• Finite dimensional projection constants
• The Determination of Minimal Projections and Extensions in L 1
• On the existence and characterization of minimal projections.
• Uniqueness of minimal projections onto two-dimensional subspaces
• Convex and Discrete Geometry
• Minimal Projections onto Subspaces with Codimension 2
• On the Minimal Property of the Fourier Projection
• The directions of the line segments and of the r ‐dimensional balls on the boundary of a convex body in Euclidean space
• Uniqueness of minimal projections in smooth matrix spaces