Suppose p>0. Prove that there is an inner product on R2 such that theassociated norm is

Chapter 6, Problem 18

(choose chapter or problem)

Suppose p>0. Prove that there is an inner product on R2 such that theassociated norm is given byk.x; y/k D .xp C yp/1=pfor all .x; y/ 2 R2 if and only if p D 2

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