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Results tagged with banach-spaces
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user 106519
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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Is $(\ell^1(\mathbb N_0),\sigma(\ell^1,\ell^\infty))$ not quasi-complete?
This is a well-known fact in Banach space theory (even locally convex space theory in a suitable form). See, for example, the classical monographs of Köthe or Schaefer. The direction you are looking …
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