Two-dimensional real symmetric spaces with maximal projection constant
Chalmers, Bruce ; Lewicki, Grzegorz
Annales Polonici Mathematici, Tome 75 (2000), p. 119-134 / Harvested from The Polish Digital Mathematics Library
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Let V be a two-dimensional real symmetric space with unit ball having 8n extreme points. Let λ(V) denote the absolute projection constant of V. We show that λ(V)≤λ(Vn) where Vn is the space whose ball is a regular 8n-polygon. Also we reprove a result of [1] and [5] which states that 4/π=λ(l₂(2))≥λ(V) for any two-dimensional real symmetric space V.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:262661 
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     zbl = {0968.41017},
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Chalmers, Bruce; Lewicki, Grzegorz. Two-dimensional real symmetric spaces with maximal projection constant. Annales Polonici Mathematici, Tome 75 (2000) pp. 119-134. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv73z2p119bwm/

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