1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: ||z
Posted: Tue Sep 07, 2021 7:12 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 – yll2 = {|lx – yll+2 x? ||=– (x+y)| 2. Prove that the norm function f(x) = ||*||:X + Ron a vector space X is continuous.