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Geometric constants and characterizations of inner product spaces

Geometric constants and characterizations of inner product spaces

Let X be a real normed space, let Ψ 2 denote the set of all convex functions on [0,1] such that max{1t,t} ψ(t) 1 , and let Φ 2 denote the set of all concave function on [0,1] such that ψ(0ψ for all nonzero vectors x, y ∈ X , …