Not finitely generated vector spaces.
107389
Show that the vector space of real functions is not finitely spanned
72077
''Linear'' transformations between vector spaces over different fields .
43814
What does it mean when a set is said to be a "finitely generated vector space"?
37119
Determine Which of the following Sets is a Vector Space
78654
An example of a norm which can't be generated by an inner product
17378
Characterize finite dimensional algebras without nilpotent elements
116112
Examples of 'almost' vector spaces where unitary law fails
106670
Existence of vector space complement and axiom of choice
137873
Problems that involves two facts in the definition of vector spaces
151117
Are all fields vector spaces?
18373
Can infinite-dimensional vector spaces be decomposed into direct sum of its subspaces?
87692
Basis and dimension of vector space
86362
Cyclic vectors in a real vector space
154724
Every vector space has a basis
151425
Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
81229
Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space
112548
Existence of non-trivial linear functional on any vector space