Uniformly Convex Space

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:

    “True spoiling is nothing to do with what a child owns or with amount of attention he gets. he can have the major part of your income, living space and attention and not be spoiled, or he can have very little and be spoiled. It is not what he gets that is at issue. It is how and why he gets it. Spoiling is to do with the family balance of power.”
    —Penelope Leach (20th century)