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:
“Shall we now
Contaminate our fingers with base bribes,
And sell the mighty space of our large honors
For so much trash as may be grasped thus?
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Than such a Roman.”
—William Shakespeare (1564–1616)