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[parent] Viewing Message
``More that just "vector" p-norms'' by ariels on 2002-06-03 07:56:32
The H\"older inequality applies generally to objects in Banach spaces (also infinite dimensional) $L_p(X)$ and $L_q(X)$ (where, as always, $\frac{1}{p}+\frac{1}{q}=1$); it states that the product is integrable (a member of $L_1(X)$), and that the norms behave as required.
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