---
tag: 0ACX5QT8TE
kind: concept
name: Invariant subspace
msc: [15A04, 47A15]
sources:
  - url: https://en.wikipedia.org/wiki/Invariant_subspace
    locator: For a single operator
same_as:
  wikidata: Q2706744
  wikipedia: Invariant subspace
---

## Summary

A subspace is invariant under a linear map from a space to itself when the map sends every vector of the subspace into the subspace.