A uniformly convex space is a normed vector space so that, for every there is some so that for any two vectors with and
implies
Intuitively, the center of a line segment inside the unit ball must lie deep inside the unit ball unless the segment is short.
Read more about Uniformly Convex Space: Properties, Examples, See Also
Famous quotes containing the word space:
“The woman’s world ... is shown as a series of limited spaces, with the woman struggling to get free of them. The struggle is what the film is about; what is struggled against is the limited space itself. Consequently, to make its point, the film has to deny itself and suggest it was the struggle that was wrong, not the space.”
—Jeanine Basinger (b. 1936)