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 (23.38 KiB) Viewed 265 times

1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: ||z= x+1]z – yl2 = {\ix – ° + 2 ||z-(x + y)||* 2. Prove that the norm function f(x) = ||*||:X + Ron a vector space X is continuous.