query: How to show the quotient of dual space and the annihilator of its subspace is equal to dual of the subspace?
positive_passages.docid: 145222
positive_passages.text: The dual of subspace of a normed space is a quotient of dual: $X' / U^\perp \cong U'$
negative_passages.docid: 135814
negative_passages.text: Prove certain subsets of $\mathbb R^n$ are subspaces
negative_passages.docid: 12212
negative_passages.text: Showing a certain subspace of Hilbert space is dense
negative_passages.docid: 49087
negative_passages.text: Show that a norm on an inner product space satisfies parallelogram law.
negative_passages.docid: 28422
negative_passages.text: What's an intuitive way of looking at quotient spaces?
negative_passages.docid: 95887
negative_passages.text: How to show that quotient space $X/Y$ is complete when $X$ is Banach space, and $Y$ is a closed subspace of $X$?
negative_passages.docid: 76188
negative_passages.text: Show $(W_1 + W_2 )^\perp = W_1^\perp \cap W_2^\perp$ and $W_1^\perp + W_2^\perp ⊆ (W_1 \cap W_2 )^\perp$
negative_passages.docid: 51898
negative_passages.text: Show that $\operatorname{Hom}_{R} (R,M) \cong M$
negative_passages.docid: 108667
negative_passages.text: Proof of properties of dual cone
negative_passages.docid: 15300
negative_passages.text: How to show that $(W^\bot)^\bot=W$ (in a finite dimensional vector space)
negative_passages.docid: 68153
negative_passages.text: How to show that $L^p$ spaces are nested?
negative_passages.docid: 12104
negative_passages.text: How to prove this result involving the quotient maps and connectedness?
negative_passages.docid: 80996
negative_passages.text: A canonical construction proving $\left|HK\right| = \left|H\right|\left|K\right| / \left|H \cap K\right|$?
negative_passages.docid: 39652
negative_passages.text: Quotient of free module
negative_passages.docid: 59804
negative_passages.text: Show that the plane $\{su+tv|s,t \in\Bbb R\}$ in $\Bbb R^3$ is equal to the null space of some element of $(\Bbb R^3)^{*}$.
negative_passages.docid: 89796
negative_passages.text: How should I prove the duality?
negative_passages.docid: 141762
negative_passages.text: The direct sum of two closed subspace is closed? (Hilbert space)