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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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About a property of bounded closed convex set

Terminology: For a bounded closed convex (bcc for short) set $A$, define $w(A)$ to be the infimum of the distance between pairs of parallel hyperplanes supporting $A$. We say that a bcc …
Shib proshad pramanik's user avatar