Please use the same symbols
Posted: Tue Sep 07, 2021 7:16 am
1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: ||z – x||2+1]z – y 12 = }}|x – yi[ +2 2 ||=- £ (x + y) 2. Prove that the norm function f(x) = ||*||: X → Ron a vector space X is continuous. +9)|