---
tag: 0ASHNYF7AG
kind: concept
name: Annihilator of a subspace
msc: [15A04]
sources:
  - url: https://en.wikipedia.org/wiki/Dual_space
    locator: Quotient spaces and annihilators
---

## Summary

The annihilator of a subspace is the set of linear forms that vanish on every vector of the subspace.