Category:Annihilators of Subspaces of Normed Dual Spaces

This category contains results about Annihilators of Subspaces of Normed Dual Spaces.
Definitions specific to this category can be found in Definitions/Annihilators of Subspaces of Normed Dual Spaces.

Let $X$ be a Banach space.

Let $X^\ast$ be the normed dual space of $X$.

Let $N$ be a vector subspace of $X^\ast$.

We define the annihilator ${}^\bot N$ by:

${}^\bot N = \set {x \in X : \map g x = 0 \text { for all } g \in N}$