# bounded operator

> linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non-zero vectors v in X

**Wikidata**: [Q2342396](https://www.wikidata.org/wiki/Q2342396)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Bounded_operator)  
**Source**: https://4ort.xyz/entity/bounded-operator


## References

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