# von Neumann bicommutant theorem

> theorem that the closure (under either the weak or strong operator topologies) of a unital *-algebra of bounded operators on a Hilbert space coincides with its bicommutant

**Wikidata**: [Q528987](https://www.wikidata.org/wiki/Q528987)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Von_Neumann_bicommutant_theorem)  
**Source**: https://4ort.xyz/entity/von-neumann-bicommutant-theorem