Does every vector space have an inner product?
122121
Is there a vector space that cannot be an inner product space?
137873
Problems that involves two facts in the definition of vector spaces
89089
Prove that there is a unique inner product on $V$
13880
Example of vector space such that $cv = 0$ where $c \ne 0$ and $v \ne \vec{0}$
17748
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
44685
Inner product on $C(\mathbb R)$
37060
The Parallelogram Identity for an inner product space
60934
What is a complex inner product space "really"?
146339
Proof of -(-v)=v in a vector space
129020
Problem with the Definition of Inner Product Space.
143517
Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
76498
Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$?
78654
An example of a norm which can't be generated by an inner product
116273
Does every $\mathbb{R},\mathbb{C}$ vector space have a norm?
120344
Are there nontrivial vector spaces with finitely many elements?
10907
Necessity of completeness of the inner product space in Riesz representation theorem
30569
Prove that the only operator on $\mathbb{C}$ for which his inner product is zero is zero