rotund space

A normed space is said to be rotund if every point of C(0,1) is an extreme point. Here C(0,1) is the set {b:b=1}. Equivalently, a space is rotund if and only if ab and a=b1 implies a+b<2.

A uniformly convex space is rotund.

Title rotund space
Canonical name RotundSpace
Date of creation 2013-03-22 16:04:56
Last modified on 2013-03-22 16:04:56
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 8
Author Mathprof (13753)
Entry type Definition
Classification msc 46H05