For the proof that $L^p$, $p≠2$, is not a Hilbert space, I often see the parallelogram law cited. But could someone explain what is the intuition behind that, why the parallelogram law is violated? I have trouble understanding this.
2026-04-04 09:41:23.1775295683
For the proof that $L^p$, $p≠2$, is not a Hilbert space, why the parallelogram law is violated?
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