Every inner product induces a norm and a norm induces an inner product iff it satisfies the parallelogram law.
Is there an inner product space that it is natural to define it as a normed space and the inner product is induced by the norm?
Every inner product induces a norm and a norm induces an inner product iff it satisfies the parallelogram law.
Is there an inner product space that it is natural to define it as a normed space and the inner product is induced by the norm?
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