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Posted: **Tue Sep 07, 2021 7:15 am**

: 1 Let X Be An Inner Product Space Using The Parallelogram Identity To Prove By Few Lines The Appolonius Identity Z 1 (31.03 KiB) Viewed 116 times

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 – y112 = {|lx – yil? +2 || 2–1 (x + y) | 2. Prove that the norm function f(x) = |1x|]:X + Ron a vector space X is continuous.