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:
“Time in his little cinema of the heart
Giving a première to Hate and Pain;
And Space urbanely keeping us apart.”
—Philip Larkin (1922–1986)