Ivan Shishkin, Rye (1878)

Problems/Functional analysisUnreviewed

Sous-espaces de fonctions dérivables

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50
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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Soit VV un sous-espace de C0([0,1],R)\mathcal{C}^0([0,1], \R), fermé pour la norme uniforme, et tel que tout élément de VV est continûment dérivable.
Montrer que VV est de dimension finie.

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