- #1
danzibr
- 9
- 0
Just to be clear, a quasi-norm is like a norm but instead of genuine subadditivity we have
##||x+y||\leq C(||x||+||y||)## where ##C\geq1## is some fixed constant.
To be honest, other than trivial examples the only one that comes to mind is ##L^p## for ##p\in(0,1)##. A quick google search doesn't yield much.
More generally, how about quasi-metric spaces? Similarly the triangle inequality is weakened to have a fixed multiplicative constant out front.
##||x+y||\leq C(||x||+||y||)## where ##C\geq1## is some fixed constant.
To be honest, other than trivial examples the only one that comes to mind is ##L^p## for ##p\in(0,1)##. A quick google search doesn't yield much.
More generally, how about quasi-metric spaces? Similarly the triangle inequality is weakened to have a fixed multiplicative constant out front.