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:
“There is commonly sufficient space about us. Our horizon is never quite at our elbows.”
—Henry David Thoreau (1817–1862)