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Use for questions regarding duality of mathematical object, i.e. dual spaces, objects with two possible interpretations etc.
3
votes
Bi-annihilator of a subspace of the dual of an infinite-dimensional vector space
The equality is false in general.
Here is a counterexample: fix a basis $v_i, i\in I$ of $V$ and consider the set of coordinate linear forms $v^*_i, i\in I$.
These forms are linearly independant but n …
3
votes
2
answers
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Bi-annihilator of a subspace of the dual of an infinite-dimensional vector space
Let $V$ be an infinite-dimensional vector space and $V^*$ its dual.
For a linear subspace $W\subset V$ define $W^ \circ\subset V^*$ as the subspace of linear forms on $V$ vanishing on $W$.
Dually, for …