SOLVED: Assume that V is an inner product space whose inner product induces norm as ||x|| = √(⟨x,x⟩). (a) Show that V obeys the parallelogram law: ||x + y||^2 + ||x -
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Let V be an inner product space. Then for arbitrary vectors u,v in V and scalar ∝ ǁu+vǁ ≤ ǁuǁ +ǁvǁ
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Let V be an inner product space. Then for arbitrary vectors u,v in V and scalar ∝ ǁ ∝ u ǁ = |∝ | ǁ u ǁ
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![real analysis - The proof that L_{2}([a,b]) is an inner product space. - Mathematics Stack Exchange](https://i.stack.imgur.com/aT52o.png "real analysis - The proof that L_{2}([a,b]) is an inner product space. - Mathematics Stack Exchange")
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