[[Functional analysis MOC]]
# Von Neumann bounded set

A set $B$ in a [[Topological vector space]] $X$ is said to be **von Neumann bounded** or **bounded** iff for every neighbourhood $U$ of the origin there exists some real $r > 0$ such that $B \sube sV$ for all $s$ such that $\abs s \geq r$. #m/def/anal/fun 


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