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 $𝐵 \subseteq 𝑠 𝑉$ for all $𝑠$ such that $| 𝑠 | \geq 𝑟$ . fun