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 (36.49 KiB) Viewed 82 times

1. Let X be an inner product space. Using the parallelogram identity to prove by few lines the Appolonius' identity: []z – x][2+1Iz – yıl? = {|lx – yil+2 ||=- 2 ||-- }(x+y)|| 2. Prove that the norm function f(x) = ||*||: X → Ron a vector space X is continuous. 1 A- B I <? .