uniformly convex space
A normed space is uniformly convex iff there exists that satisfies
for and -.
For example it is easily seen that the normed space is uniformly convex space.
Also and spaces for are uniformly convex, see J.A. Clarkson, ”Uniformly convex spaces”, Trans. Amer. Math. Society, 40 (1936), 396-414.
Title | uniformly convex space |
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Canonical name | UniformlyConvexSpace |
Date of creation | 2013-03-22 15:13:11 |
Last modified on | 2013-03-22 15:13:11 |
Owner | georgiosl (7242) |
Last modified by | georgiosl (7242) |
Numerical id | 32 |
Author | georgiosl (7242) |
Entry type | Definition |
Classification | msc 46H05 |
Synonym | uniformly convex |