Theorema Dieudonnéanum

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Theorema Dieudonnéanum, ex Ioanne Dieudonné appellatum, in mathematica est theorema de casu ubi summa Minkowskiana copiarum clausarum clauditur.

Propositum theorematis

Datis copiis convexis clausis non vacuis A,B⊂X, spatium localiter convexum, si aut A aut B localiter sit compactum et recc⁡(A)∩recc⁡(B) (ubi recc conum recessionis dat) sit subspatium lineare, tum A−B clauditur.[1][2]

Notae

  1. ↑ Formula:Cite journal.
  2. ↑ Constantin Zălinescu, Convex Analysis in General Vector Spaces (River Edge, Novae Caesareae: World Scientific Publishing, 2002), pp. 6–7. ISBN 981-238-067-1. MR 1921556.

Formula:Math-stipula

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