More distant than the antipodes
More distant than the antipodes
In a normed space X, 6 denotes the inner metric on the surface d£ of the unit ball. We consider M(X) = sup{6(-p,p): p e d£} , D(X) = sup{6(p,q): p,q e 5E) . Exploding the conjecture that M(X) = D(X) for all X (previously verified in several cases), it …