Geodesic
Two-dimensional real symmetric spaces with maximal projection constant
Annales Polonici Mathematici, Tome 73 (2000) no. 2, pp. 119-134

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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 $λ(V) ≤ λ(V_n)$ where $V_n$ 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.
DOI : 10.4064/ap-73-2-119-134
Keywords: absolute projection constant, minimal projection, symmetric spaces

Bruce Chalmers 1 ; Grzegorz Lewicki 1

1 
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Bruce Chalmers; Grzegorz Lewicki. Two-dimensional real symmetric spaces with maximal projection constant. Annales Polonici Mathematici, Tome 73 (2000) no. 2, pp. 119-134. doi: 10.4064/ap-73-2-119-134

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