1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: ||z
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1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: ||z
1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: ||z – x|12+1/2 – y112 = }}\x – yi[° +2 2||- - }(x+y) || 2. Prove that the norm function f(x) = ||*||:X + Ron a vector space X is continuous.
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