Extension of smooth functions in infinite dimensions, I: unions of convex sets

• Autorzy: C. J. Atkin
• Języki publikacji: EN

Abstrakty

EN

Let f be a smooth function defined on a finite union U of open convex sets in a locally convex Lindelöf space E. If, for every x ∈ U, the restriction of f to a suitable neighbourhood of x admits a smooth extension to the whole of E, then the restriction of f to a union of convex sets that is strictly smaller than U also admits a smooth extension to the whole of E.

Kategorie tematyczne

• 46T20: Continuous and differentiable maps

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 146
• Numer: 3
• Strony: 201-226

Daty

wydano

2001

Twórcy

autor

C. J. Atkin

• School of Mathematical and Computing Sciences, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand

Identyfikatory

DOI

10.4064/sm146-3-1