A normed space, also called a normed linear space, is a vector space possessing a norm.
The Petty equilateral-set conjecture asks whether every real 
-dimensional
normed space contains 
pairwise equidistant points.
Normed Space
See also
Bounded Operator, Jung Constant, Minkowski Plane, Norm, Normed Ring, Projection Constant, Vector SpaceExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Normed Space." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NormedSpace.html