# open mapping theorem

> Theorem that surjective continuous operators on Banach spaces are open maps

**Wikidata**: [Q944297](https://www.wikidata.org/wiki/Q944297)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Open_mapping_theorem_(functional_analysis))  
**Source**: https://4ort.xyz/entity/open-mapping-theorem


## References

1. Freebase Data Dumps. 2013
2. [OpenAlex](https://docs.openalex.org/download-snapshot/snapshot-data-format)