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Uniformly convex space

reflexive Banach space such that the center of a line segment inside the unit ball must lie deep inside the unit ball unless the segment is short

Pronunciation
/ˈjunəˌfɔrmli ˈkɑnvɛks speɪs/
/ˈjuːnɪfɔːmli ˈkɒnvɛks speɪs/