1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: 112
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1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: 112
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.
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