Closed vector space and a subspace of a vector space
139951
Direct Sum of vector subspaces
18913
How to find a basis for the intersection of two vector spaces in $\mathbb{R}^n$?
82355
When is the image of a linear operator (between Banach spaces) closed?
133611
Intersection of two vector spaces
74623
Associative rule of subspaces and vector spaces: $(U+V) \cap W = U + (V \cap W)$
25039
Zero vector of a vector space
70413
A vector space over $R$ is not a countable union of proper subspaces
53633
Given two subspaces $U,W$ of vector space $V$, how to show that $\dim(U)+\dim(W)=\dim(U+W)+\dim(U\cap W)$
109632
Show reflexive normed vector space is a Banach space
4717
The union of linear subspaces is not necessarily a subspace
87692
Basis and dimension of vector space
60684
Determine whether the set $W$ is a subspace in $\mathbb{R}^{3}$
146339
Proof of -(-v)=v in a vector space
22295
Subspace of a separable space is separable
73353
Is it true that a subset that is closed in a closed subspace of a topological space is closed in the whole space?
37119
Determine Which of the following Sets is a Vector Space
81229
Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space