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Results tagged with hilbert-spaces
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user 8353
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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The role of completeness in Hilbert Spaces
It's interesting the way that you phrase the question. I always thought of Hilbert spaces as Banach spaces with extra structure and just took for granted that completeness is always desirable. (Banach …
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