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Results tagged with hilbert-spaces
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user 176044
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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Comparison of orthogonal complements in L^2 and H^1 spaces
Let $\Omega$ be a bounded domain with smooth boundary, and let $L^2(\Omega)$ and $H^1(\Omega)$ the usual $L^2$ and $H^1$ function spaces on $\Omega$, respectively. We call $\phi \in H^1(\Omega)$, and …
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