Infinite dimensional vector space
17748
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
154625
$\operatorname{span}(x^0, x^1, x^2,\cdots)$ and the vector space of all real valued continuous functions on $\Bbb R$
32458
Does the rank-nullity theorem hold for infinite dimensional $V$?
102371
Proving that two vector spaces of equal dimension are isomorphic
84921
Fitting an infinite collection of balls in an infinite dimensional unit ball
47015
Vector Space Structures over ($\mathbb{R}$,+)
123828
finite and infinite product of discrete space
26989
Show that C[0,1] is a vector space
116112
Examples of 'almost' vector spaces where unitary law fails
59030
Finding the dimension of a given vector space
116823
VERIFYING: Proving an $n \times n$ Matrix Vector Space
141843
n-dimensional vector space isomorphic to the n-th product of a field as abelian groups
112548
Existence of non-trivial linear functional on any vector space
151467
An infinite generating set of a finite dimensional vector space contains a basis
131993
Prove that vector space and dual space have same dimension
53850
Proof that every normed vector space is a topological vector space
120344
Are there nontrivial vector spaces with finitely many elements?