---
tag: 0NEGN5CRSC
kind: concept
name: Self-adjoint operator
aliases: [hermitian-operator]
msc: [47B15, 15B57]
sources:
  - url: https://en.wikipedia.org/wiki/Self-adjoint_operator
    locator: Definitions
same_as:
  wikidata: Q6500908
  wikipedia: Self-adjoint operator
---

## Summary

A self-adjoint operator on a finite-dimensional inner product space is a linear map from the space to itself that equals its adjoint.