---
tag: 06EKW1AKXF
kind: concept
name: Operator norm
aliases: [norm-of-a-linear-map]
msc: [47A30]
sources:
  - url: https://en.wikipedia.org/wiki/Operator_norm
    locator: lead section
same_as:
  wikidata: Q980557
  wikipedia: Operator norm
---

## Summary

The operator norm of a continuous linear map measures the largest factor by which the map can stretch a vector.
It makes the space of continuous linear maps into a normed space.