A normed space has maximal absolute projection constant iff its dual unit ball lies between the absolutely convex hull of a maximal ETF and the rescaled zonotope spanned by the same vectors; equality of these two sets happens only in the real plane, giving uniqueness there.
Computation of maximal projection constants
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Spaces with the maximal projection constant revisited
A normed space has maximal absolute projection constant iff its dual unit ball lies between the absolutely convex hull of a maximal ETF and the rescaled zonotope spanned by the same vectors; equality of these two sets happens only in the real plane, giving uniqueness there.