Why is this set of polynomials not a vector space?
54875
How to prove polynomials with degree $n$ does not form a vector space?
153432
Question on the proof of the spectral mapping theorem for polynomials
107389
Show that the vector space of real functions is not finitely spanned
58490
Polynomials, finite fields and cardinality/dimension considerations
26989
Show that C[0,1] is a vector space
87692
Basis and dimension of vector space
82771
Proving that any polynomial $p:\mathbb{R}\rightarrow \mathbb{R}$ is not bounded, but its restriction to any bounded set is bounded
110654
Vector Spaces and AC
28402
Number of bases of an n-dimensional vector space over q-element field.
86362
Cyclic vectors in a real vector space
17748
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
41520
Prove that $L(V,W)$ forms a vector space
15596
Identification of each tangent space $T_pV$ with $V$ itself?
151117
Are all fields vector spaces?
15300
How to show that $(W^\bot)^\bot=W$ (in a finite dimensional vector space)
43282
Why do $n$ linearly independent vectors span $\mathbb{R}^{n}$?
14836
A polynomial sequence