A question about vectorial spaces of infinite dimension.
4319
Vector space can be written as direct sum of subspaces
81471
Finite dimensional spaces
145668
Subspaces of $\ell^{2}$ and $\ell^{\infty}$ which are not closed?
125073
Finite-dimensional subspaces of normed vector spaces are direct summands
91173
Finite-dimensional subspace normed vector space is closed
145535
Product norm on infinite product space
154724
Every vector space has a basis
110654
Vector Spaces and AC
59647
Vector spaces with fractional dimension
26989
Show that C[0,1] is a vector space
84830
Vector space of infinite sequences in $\Bbb R$
154762
Dual space of a finite dimensional normed space
123505
how to prove vector norm equivalence in finite dimensional space($\mathbb{R}^{n}$)?
119671
Is there an infinite dimensional $V$ such that every linear operator on $V$ is a direct sum of a nilpotent and  an invertible operator?
144151
An orthonormal set cannot be a basis in an infinite dimension vector space?
60692
Is this map to a finite dimensional topological vector space an open map?
60685
The vector space formed on C[0,1] and the norm $(\int_{0}^{1}|f(t)|^2 dt)^{1/2} $