---
tag: 0KN7EPH7Z0
kind: concept
name: Restriction of an endomorphism to an invariant subspace
msc: [15A04, 47A15]
sources:
  - url: https://en.wikipedia.org/wiki/Invariant_subspace
    locator: For a single operator
---

## Summary

The restriction of an endomorphism to an invariant subspace is the endomorphism of the subspace that agrees with the original map on it.