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Results tagged with banach-spaces
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user 26320
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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Double duals characteristic [closed]
Recall that (for $1\le p<\infty$), $\ell^p = \{\{a_n\}_{n=1}^\infty:\sum\limits_{i=1}^\infty|a_i|\lt\infty\}$, with norm $||\{a_n\}||=(\sum\limits_{i=1}^\infty|a_i|^p)^{\frac{1}{p}}$.
It is well know …
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