Convex sets in normed spaces

[207/29%]

Subtopics

Extreme points of convex sets[29/10%]
L^p spaces for 0 < p < 1[26/31%]
Separation theorems for convex sets (geometric Hahn-Banach)[25/12%]
Frechet and countably normed spaces[22/9%]
Weak and weak-* sequential compactness[16/19%]
Meager subspaces and category arguments in topological vector spaces[14/36%]
Nearest points in closed convex sets of a Hilbert space[13/69%]
Geometry of L^p unit balls[12/25%]
Minkowski functional (gauge) of a convex set[11/18%]
Extreme points of the unit ball[9/56%]
Mazur's lemma (weak limits and convex hulls)[8/25%]
Convexity preserved by closure, interior, intersection and midpoint convexity[7/29%]
Discontinuous linear maps constructed from a Hamel basis[7/86%]
Sums, products and convex hulls of compact sets[6/33%]
Every ball in a normed space is convex[3/67%]
Kadison's theorem on extreme points of the operator unit ball[2/50%]
Line segments lying on the unit sphere[2/100%]
A convex cone with empty interior but dense linear span[1/100%]