Category:Annihilators of Subspaces of Banach Spaces
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This category contains results about Annihilators of Subspaces of Banach Spaces.
Let $X$ be a Banach space.
Let $M$ be a vector subspace of $X$.
Let $X^\ast$ be the normed dual space of $X$.
We define the annihilator $M^\bot$ by:
- $M^\bot = \set {g \in X^\ast : \map g x = 0 \text { for all } x \in M}$
Subcategories
This category has only the following subcategory.
Pages in category "Annihilators of Subspaces of Banach Spaces"
The following 8 pages are in this category, out of 8 total.
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- Annihilator of Image of Bounded Linear Transformation is Kernel of Dual Operator
- Annihilator of Subspace of Banach Space as Intersection of Kernels
- Annihilator of Subspace of Banach Space is Subspace of Normed Dual
- Annihilator of Subspace of Banach Space is Weak-* Closed
- Annihilator of Subspace of Banach Space is Zero iff Subspace is Everywhere Dense