Please Use The Same Symbols 1 (27.64 KiB) Viewed 370 times
Please use the same symbols
1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: ||z – x||2+1]z – y 12 = }}|x – yi[ +2 2 ||=- £ (x + y) 2. Prove that the norm function f(x) = ||*||: X → Ron a vector space X is continuous. +9)|
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