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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 112 1 (14.62 KiB) Viewed 457 times

1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: 112- x112+112 – 7112 = {][x = y112 + 2 ||z – } (x + y)||| 2. Prove that the norm function f(x) = ||x1|:X + Ron a vector space X is continuous.