Minimal Versus Orthogonal Projections onto Hyperplanes in $$\ell _1^{n}$$ ℓ 1 n and $$\ell _{\infty }^{n}$$ ℓ ∞ n

DOI10.1007/978-3-319-06404-8_20zbMath1326.41042OpenAlexW2119526892MaRDI QIDQ2950618

Lesław Skrzypek, Boris Shekhtman

Publication date: 9 October 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06404-8_20

zbMATH Keywords

hyperplanesorthogonal projectionminimal projection

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• Codimension-one minimal projections onto Haar subspaces
• Projections onto hyperplanes in Banach spaces
• Minimal projections on hyperplanes in sequence spaces
• Symmetric spaces with maximal projection constants
• Orthogonal almost locally minimal projections on \(\ell_1^n\)
• Chalmers-Metcalf operator and uniqueness of minimal projections
• Convex regions and projections in Minkowski spaces
• A proof of the Grünbaum conjecture
• Projection Constants
• The Determination of Minimal Projections and Extensions in L 1
• On projections on subspaces of codimension one
• On the $L_p$ norm of the Rademacher projection and related inequalities
• Projection Constants and Spaces of Continuous Functions
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