Uniformly Convex Space
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, uniformly convex spaces are common examples of reflexive Banach spaces. These include all Hilbert spaces and the Lp spaces for 1 0 there is some 0 so that for any two vectors with x le1 and y le 1, x+y 2-delta, implies, x-y epsilon. Intuitively, the center of a line segment inside the unit ball must lie deep inside the unit ball unless the segment is short.

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, uniformly convex spaces are common examples of reflexive Banach spaces. These include all Hilbert spaces and the Lp spaces for 1 0 there is some 0 so that for any two vectors with x le1 and y le 1, x+y 2-delta, implies, x-y epsilon. Intuitively, the center of a line segment inside the unit ball must lie deep inside the unit ball unless the segment is short.