A proof of the Grünbaum conjecture
Bruce L. Chalmers ; Grzegorz Lewicki
Studia Mathematica, Tome 196 (2010), p. 103-129 / Harvested from The Polish Digital Mathematics Library
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Let V be an n-dimensional real Banach space and let λ(V) denote its absolute projection constant. For any N ∈ N with N ≥ n define λₙN=supλ(V):dim(V)=n,V⊂l∞(N), λₙ = supλ(V): dim(V) = n. A well-known Grünbaum conjecture [Trans. Amer. Math. Soc. 95 (1960)] says that λ₂ = 4/3. König and Tomczak-Jaegermann [J. Funct. Anal. 119 (1994)] made an attempt to prove this conjecture. Unfortunately, their Proposition 3.1, used in the proof, is incorrect. In this paper a complete proof of the Grünbaum conjecture is presented

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:285668 
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     title = {A proof of the Gr\"unbaum conjecture},
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Bruce L. Chalmers; Grzegorz Lewicki. A proof of the Grünbaum conjecture. Studia Mathematica, Tome 196 (2010) pp. 103-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm200-2-1/