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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 …
lefuneste's user avatar
  • 417
3 votes
2 answers
711 views

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 …
lefuneste's user avatar
  • 417