query: Change of Basis for dual space
positive_passages.docid: 21366
positive_passages.text: Help on the relationship of a basis and a dual basis
negative_passages.docid: 10715
negative_passages.text: Orthogonal projection and two subspaces
negative_passages.docid: 117131
negative_passages.text: Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$
negative_passages.docid: 42362
negative_passages.text: Show that the dual space of the vector space of all polynomials is isomorphic to the infinite-dimensional Euclidean vector space over the reals
negative_passages.docid: 100257
negative_passages.text: Converse to Hilbert basis theorem
negative_passages.docid: 125982
negative_passages.text: If the dual spaces are isometrically isomorphic are the spaces isomorphic?
negative_passages.docid: 7723
negative_passages.text: Countable basis of function spaces
negative_passages.docid: 115273
negative_passages.text: Nilpotent matrix and basis for $F^n$
negative_passages.docid: 63104
negative_passages.text: Dual cone of $K = \{(x,t) \mid \| \boldsymbol{x} \|_1 \le t \}$
negative_passages.docid: 78833
negative_passages.text: Can a basis for a vector space $V$ can be restricted to a basis for any subspace $W$?
negative_passages.docid: 57619
negative_passages.text: Norms Induced by Inner Products and the Parallelogram Law
negative_passages.docid: 116517
negative_passages.text: Is every invertible matrix a change of basis matrix?
negative_passages.docid: 66866
negative_passages.text: Algebraic dual of $\mathbb{R}^{\mathbb{N}}$
negative_passages.docid: 76559
negative_passages.text: Change of basis for a rank 3 Cartesian tensor
negative_passages.docid: 3846
negative_passages.text: Let $v_{1}=(1,-2,3),v_{2}=(0,-1,2)$. Enlarge $\{v_{1},v_{2}\}$ to a basis for $\mathbb{R}^3$.
negative_passages.docid: 118323
negative_passages.text: What is the topological dual of a dual space with the weak* topology?
negative_passages.docid: 154762
negative_passages.text: Dual space of a finite dimensional normed space