##  [Annihilator (of a Subspace)](/annihilator-subspace) 

  ##  [Annihilator (of a Subspace)](https://natural.quantumdictionary.io/annihilator-subspace-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For a subspace S of a finite-dimensional vector space V over a field F, the annihilator S^0 is the subspace of the dual V* consisting of all linear functionals φ with φ(s) = 0 for every s ∈ S.