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Results tagged with hilbert-spaces
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user 490936
A Hilbert space $H$ is a real or complex vector space endowed with an inner product such that $H$ is a complete metric space when endowed with the norm induced by this inner product.
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Get an estimate on $L^{2}(0,1)$ [closed]
Consider $f \in L^{2}(0,1)$ and $g \in L^{\infty}(0,1)$ such that
$ \text{lim} ~g(x) = 0 \ \ \text{when} \ \ x \to 0^{+};$
$g(x) > 0 \ \forall x \in (0,1)$;
$\text{lim}~\dfrac{g(x)}{x^{\alpha}} = N …
