A short proof of the separable reduction theorem

• Autorzy: Penot J. P.
• Języki publikacji: EN

Abstrakty

EN

We present a simple proof of the separable reduction theorem, a crucial result of nonsmooth analysis which allows to extend to Asplund spaces the results known for separable spaces dealing with Fréchet subdifferentials. It relies on elementary results in convex analysis and avoids certain technicalities.

Słowa kluczowe

EN

Asplund spaces; convex analysis; Frechet subdifferential; nonsmooth analysis; subdifferential; sum rules

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 3
• Strony: 653--663
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Penot J. P.

• Laboratoire De Mathématiques Appliquées CNRS UMR 5142 Faculté Des Sciences Université De Pau Et Des Pays De L'adour B.P. 1155, 64013 Pau Cedex, France,

Bibliografia

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