---
tag: 0C8BR8XRTR
kind: concept
name: Normal operator
msc: [47B15, 15A04]
sources:
  - url: https://en.wikipedia.org/wiki/Normal_operator
    locator: lead section
same_as:
  wikidata: Q854946
  wikipedia: Normal operator
---

## Summary

A normal operator on a finite-dimensional inner product space is a linear map that commutes with its adjoint.