Is a basis for the vector space of all series in $\mathbb{R}$ constructible
723
Is there a constructive way to exhibit a basis for $\mathbb{R}^\mathbb{N}$?
130361
Basis for a topology with a countable number of sets
72952
Uniqueness of a linear map on a basis of a vector space
57609
Hahn-Banach proof by extension of basis
61718
Can a basis for a vector space be made up of matrices instead of vectors?
55089
Basis of the space of vector fields on smooth manifolds
88013
injective linear transformation basis.
100749
How to find bases for a subspace defined by an equation
17495
Show that the vector space of all continuous real-valued functions is infinite-dimensional
138653
Is $\mathbb{R}$ a subspace of $\mathbb{R}^2$?
52888
Find all values of a for which $\{v_1,v_2,v_3\}$ form a basis for ${\bf R}^3$
4319
Vector space can be written as direct sum of subspaces
133711
Orthogonal basis for infinite-dimensional vector spaces
18373
Can infinite-dimensional vector spaces be decomposed into direct sum of its subspaces?
108742
Proving commutativity of addition for vector spaces
120766
Prove ${y_n}$ is a basis for a Hilbert space $H$.
26497
Take $\mathbb{R}$ as a vector space over $\mathbb{Q}$, then a basis for $\mathbb{R}$, then $|B|=2^{\aleph_0}$