(thing) by ariels Thu Mar 22 2001 at 10:53:31

Let V be a vector space, let V* be its dual vector space, and let U be a subspace (or just any subset) of V. The annihilator of U is


Ann U = { f∈V* : ∀ u∈U.f(u)=0 }

When V is (isomorphic to) Rn and we make the standard identification of V and V*, the annihilator is just the perpendicular subspace.

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(definition) by Webster 1913 Tue Dec 21 1999 at 21:48:24

An*ni"hi*la`tor (#), n.

One who, or that which, annihilates; as, a fire annihilator.

 

© Webster 1913.

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