Can the canonical linear function of a vector space to his double dual space be surjective?
117131
Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$
70413
A vector space over $R$ is not a countable union of proper subspaces
68526
Polynomials as vector spaces?
63146
Proof of properties of injective and surjective functions.
62711
Canonical map $R/(I\cap J)\rightarrow R/I\times _{R/(I+J)} R/J$ is an isomorphism
80618
Surjective bounded operator in Banach spaces without bounded right-inverse
93923
No surjective bounded linear map from $\ell^2(\mathbf{N})$ to $\ell^1(\mathbf{N})$
27478
Proof that two basis of a vector space have the same cardinality in the infinite-dimensional case
90435
Prove that there exist linear functionals $L_1, L_2$ on $X$
52596
A basis for $k(X)$ regarded as a vector space over $k$
74675
Why is there no natural isomorphism between $V$ and its dual?
151425
Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
6023
Surjectivity of Composition of Surjective Functions
43503
Bases of complex vector spaces and the axiom of choice
154762
Dual space of a finite dimensional normed space
158156
Finding the dual basis for the space of polynomials of degree $\leq$ 2
152379
If $V_1, V_2$ are $\mathbb{Q}$-vector spaces and $f \colon V_1 \to V_2$ is additive, then $f$ is $\mathbb{Q}$-linear