Why do we want norms to follow triangle inequality
94672
Why is the triangle inequality property important for metric spaces?
70415
Comparison between the $\ell_1$ and $\ell_2$ norms
83034
Triangle inequality square #2
22689
Reference for trace/norm inequality
76140
The supremum norm is submultiplicative
128786
How to use triangle inequality to establish Reverse triangle inequality
104217
Alternative triangle inequality proof
107967
Significance of assumption in competition inequality questions
105908
Triangle Inequality for SPD Matrix Norm
33543
is "y1 < x < y2" an inequality or inequalities?
31302
Hilbert Schmidt Norm-Rank-inequality
144382
Proving $\lVert x \rVert_3$ is smaller than euclidean norm
115331
Deriving the sub-differential of the nuclear norm
20310
Geometric motivation for negative self-intersection
68986
Use the triangle inequality to show that $|a|+|b| \leq |a+b|+|a-b|$
99350
Are two norms equivalent if they induce the same topology on a vector space?
149536
Why is the  $L_p$ norm strictly convex for $1<p<\infty?$