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Posted: **Tue Sep 07, 2021 7:10 am**

: 1 Let X Be An Inner Product Space Using The Parallelogram Identity To Prove By Few Lines The Appolonius Identity 11z 1 (24.07 KiB) Viewed 82 times

1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: 11z – x]]2+]z – y|p2 = 1x – yll? + 2 ||-- }(x + y)||* 2. Prove that the norm function f(x) = ||x1|:X + R on a vector space X is continuous.