e Q1. Let X be on normed vector space The duality map F is defined for every xX by X Foxi- E REX * 112 11 =11x1) and R,xheith A Prove that Fx = { R6 X 114 115 11xl and ch, salah and deduce that feas +0, closed, and convex. B) Prove that X is strictly convex, (hen Fees Contains a single punt. c) Prove that Few={ REX* Illy 12 kell > > , & X}