Spaces of Whitney jets on self-similar sets

• Autorzy: Dietmar Vogt
• Języki publikacji: EN

Abstrakty

EN

It is shown that complemented subspaces of s, that is, nuclear Fréchet spaces with properties (DN) and (Ω), which are 'almost normwise isomorphic' to a multiple direct sum of copies of themselves are isomorphic to s. This is applied, for instance, to spaces of Whitney jets on the Cantor set or the Sierpiński triangle and gives new results and also sheds new light on known results.

Kategorie tematyczne

• 46A04: Locally convex Fr\'echet spaces and (DF)-spaces
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46A63: Topological invariants ((DN), ( Ω ), etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 218
• Numer: 1
• Strony: 89-94

Daty

wydano

2013

Twórcy

autor

Dietmar Vogt

• Department of Mathematics, Bergische Universität Wuppertal, Gauss-Str. 20, 42119 Wuppertal, Germany

Identyfikatory

DOI

10.4064/sm218-1-5