Annihilator (of a Subspace) 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.
Annihilator (of a Subspace) 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.