Can we define inner product on every vector space?
122121
Is there a vector space that cannot be an inner product space?
4151
Every subspace of a vector space has a complement
60934
What is a complex inner product space "really"?
51313
Extension of linearly independent set to a basis in an infinite dimensional vector space
72567
Does a set of $n$ independent vectors in $R^{n}$ always span $R^{n}$?
154724
Every vector space has a basis
30569
Prove that the only operator on $\mathbb{C}$ for which his inner product is zero is zero
83360
The completion of a separable inner product space is a separable Hilbert space
92510
Proving a vector space is infinite-dimensional
31919
What can we say about the inner product $\langle f(t),f'(t) \rangle$?
19671
Does the "field" over which a vector space is defined have to be a Field?
112060
Is complex conjugation needed for valid inner product?
55533
Tensor Product: Hilbert Spaces
4319
Vector space can be written as direct sum of subspaces
133711
Orthogonal basis for infinite-dimensional vector spaces
72077
''Linear'' transformations between vector spaces over different fields .
141843
n-dimensional vector space isomorphic to the n-th product of a field as abelian groups