Three-dimensional subspace of \(l^{(5)}_\infty\) with maximal projection constant

DOI10.1016/j.jfa.2009.01.005zbMath1201.46011OpenAlexW2094442586MaRDI QIDQ1029321

Bruce L. Chalmers, Grzegorz Lewicki

Publication date: 10 July 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.01.005

zbMATH Keywords

projection constantminimal projection

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (20)

Minimal Projections onto Subspace of Affine Functions ⋮ On maximal relative projection constants ⋮ Absolute Lipschitz extendability and linear projection constants ⋮ On the value of the fifth maximal projection constant ⋮ Subspaces of codimension two with large projection constants ⋮ On the dimension of the set of minimal projections ⋮ A uniform lower bound on the norms of hyperplane projections of spherical polytopes ⋮ Minimal projections onto hyperplanes in \(\ell_p^n\) ⋮ Uniqueness of minimal Fourier-type extensions in \(L_1\)-spaces ⋮ A simple proof of the Grünbaum conjecture ⋮ The Chalmers-Metcalf operator and minimal extensions ⋮ Uniqueness of minimal projections in smooth expanded matrix spaces ⋮ Minimal projection onto certain subspace of Lp(X×Y×Z) ⋮ Some Results on Absolute Projection Constants ⋮ Best Approximation in Numerical Radius ⋮ On the Unique Minimality of the Fourier Projection inL_pSpaces ⋮ Codimension-one minimal extensions onto Haar subspaces ⋮ Almost minimal orthogonal projections ⋮ Computation of maximal projection constants ⋮ HYPERPLANES OF FINITE-DIMENSIONAL NORMED SPACES WITH THE MAXIMAL RELATIVE PROJECTION CONSTANT

Cites Work

• Spaces with large projection constants
• Minimal projections on hyperplanes in sequence spaces
• Norms of minimal projections
• Symmetric spaces with maximal projection constants
• Extension constants of unconditional two-dimensional operators
• Chalmers-Metcalf operator and uniqueness of minimal projections
• Some functionals over a compact Minkowski space
• Bounds for Projection Constants and 1-Summing Norms
• Projection Constants
• Finite dimensional projection constants
• Projection constants of symmetric spaces and variants of Khintchine's inequality
• Some Parameters Associated with Finite-Dimensional Banach Spaces
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