Prove that the norms ||.||2 and ||.||infinity on a finite dimensional space are equivalent
66548
proving topological equivalence
155621
Finiteness of the dimension of a normed space and compactness
129549
Showing that the orthogonal projection in a Hilbert space is compact iff the subspace is finite dimensional
76689
How to prove $C_1 \|x\|_\infty \leq \|x\| \leq C_2 \|x\|_\infty$?
62425
Equivalent Definitions of the Operator Norm
103397
Homeomorphisms between infinite-dimensional Banach spaces and their spheres
98759
Proof of "Dual normed vector space is complete"
27478
Proof that two basis of a vector space have the same cardinality in the infinite-dimensional case
53850
Proof that every normed vector space is a topological vector space
125623
Subspaces of separable normed spaces
150415
Pseudoinverse and norm
140813
How do i prove that continuous linear transformation between normed spaces is bounded?
148954
Understanding a statement about equivalent norms ($||\cdot ||_2 \sim||\cdot||_1 $)
117533
$|A-\lambda I|$ and $|\lambda I-A|$
32965
Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
135694
Proving $\kappa^{\lambda} = |\{X: X \subseteq \kappa, |X|=\lambda\}|$
154762
Dual space of a finite dimensional normed space