Basis of infinite Vector Space $\mathbb R^{\infty}$
723
Is there a constructive way to exhibit a basis for $\mathbb{R}^\mathbb{N}$?
87692
Basis and dimension of vector space
82464
$U^*\otimes V$ versus $L(U,V)$ for infinite dimensional spaces
61718
Can a basis for a vector space be made up of matrices instead of vectors?
76498
Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$?
120344
Are there nontrivial vector spaces with finitely many elements?
59929
Why is $(e_n)$ not a basis for $\ell_\infty$?
59192
Basis of cotangent space
139078
Infinite partition of $\mathbb N$ by infinite subsets
18913
How to find a basis for the intersection of two vector spaces in $\mathbb{R}^n$?
28238
A question about long exact sequence of finite dim vector spaces
55089
Basis of the space of vector fields on smooth manifolds
107842
Behaviour of ($\overline{a}_n)_{n=1}^{\infty}$ and ($\underline{a}_n)_{n=1}^{\infty}$
17748
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
154625
$\operatorname{span}(x^0, x^1, x^2,\cdots)$ and the vector space of all real valued continuous functions on $\Bbb R$
61539
proof for a basis in $L^2$
72952
Uniqueness of a linear map on a basis of a vector space