Are finite-dimensional normed spaces injective?
125073
Finite-dimensional subspaces of normed vector spaces are direct summands
18195
Understanding of the theorem that all norms are equivalent in finite dimensional vector spaces
125623
Subspaces of separable normed spaces
80618
Surjective bounded operator in Banach spaces without bounded right-inverse
144656
Linear functional and a bounded norm
143517
Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
91173
Finite-dimensional subspace normed vector space is closed
155266
Is $\exp:\overline{\mathbb{M}}_n\to\mathbb{M}_n$ injective?
53971
If $g:V \rightarrow V$ is an injective linear transformation. Prove if $V$ is finite dimensional then $g$ is surjective.
45380
Surjectivity implies injectivity and conversely
132869
Show that any bounded linear functional on a normed linear space is continuous
43431
Show that $F+G$ is closed when $G$ a closed subspace of normed space $E$ and $F$ a finite dimensional subspace of $E$.
69766
Is every normed vector space, an inner product space
115794
When is the vector space of continuous functions on a compact Hausdorff space finite dimensional?
53850
Proof that every normed vector space is a topological vector space
14509
Contraction Map on Compact Normed Space has a Fixed Point
15839
equivalent norms in Banach spaces of infinite dimension