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On Minimal Projections in l∞(n)

✍ Scribed by Grzegorz Lewicki


Publisher
Springer Vienna
Year
2000
Tongue
English
Weight
113 KB
Volume
129
Category
Article
ISSN
0026-9255

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Norms of Minimal Projections
✍ H. Konig; N. Tomczakjaegermann 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 862 KB

It is proved that the projection constants of two- and three-dimensional spaces are bounded by \(\frac{4}{3}\) and \((1+\sqrt{5}) / 2\), respectively. These bounds are attained precisely by the spaces whose unit balls are the regular hexagon and dodecahedron. In fact, a general inequality for the pr