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Results tagged with banach-spaces
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user 2858
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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Boundedness of nonlinear continuous functionals
Ady, I think there is a counterexample to your question.
To describe it, let $(V_n)$ be a basis of $[0,1]$ consisting
of non-empy open sets; $K$ stands for the closed unit ball of $C[0,1]$.
For every …
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