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Results tagged with banach-spaces
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user 149336
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
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Strictly increasing functions in reflexive subspaces of $C([0,1])$
This is impossible. Each such function has norm 1 and only one supporting functional (point value at 1) in $C[0,1]$ so a'fortiori in this Hilbert space. But in Hilbert space the supporting functional …
