query: Subspace of dual space is annihilator?
positive_passages.docid: 152325
positive_passages.text: Every subspace of the dual of a finite-dimensional vector space is an annihilator
negative_passages.docid: 67191
negative_passages.text: When is the union of a family of subspaces of a vector space also a subspace?
negative_passages.docid: 4319
negative_passages.text: Vector space can be written as direct sum of subspaces
negative_passages.docid: 131993
negative_passages.text: Prove that vector space and dual space have same dimension
negative_passages.docid: 105014
negative_passages.text: Is the zero vector in $\mathbb{R}^n$ by itself a subspace of $\mathbb{R}^n$?
negative_passages.docid: 145222
negative_passages.text: The dual of subspace of a normed space is a quotient of dual: $X' / U^\perp \cong U'$
negative_passages.docid: 88841
negative_passages.text: annihilator linear algebra
negative_passages.docid: 35305
negative_passages.text: Why is $\mathbb{R}^2$ not a subset and /or a subspace of $\mathbb{R}^3$?
negative_passages.docid: 22295
negative_passages.text: Subspace of a separable space is separable
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: 65494
negative_passages.text: Proper subspaces of $ R^n $
negative_passages.docid: 125785
negative_passages.text: Minimal polynomial of restriction to invariant subspace divides minimal polynomial
negative_passages.docid: 128266
negative_passages.text: Dual Spaces and Natural maps
negative_passages.docid: 128866
negative_passages.text: Isomorphism between dual space and bilinear forms
negative_passages.docid: 145668
negative_passages.text: Subspaces of $\ell^{2}$ and $\ell^{\infty}$ which are not closed?
negative_passages.docid: 143517
negative_passages.text: Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
negative_passages.docid: 95513
negative_passages.text: Proving $W$ is a subspace of $P_{2}$