1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius" identity: 11z
Posted: Tue Sep 07, 2021 7:14 am
1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius" identity: 11z – x11*+1z – ylp? = lx = yi[ +2 ||-- }(x + y) || 2. Prove that the norm function f(x) = ||*|| X + Ron a vector space X is continuous.