Spaces of Whitney jets on self-similar sets

  title={Spaces of Whitney jets on self-similar sets},
  author={Dietmar Vogt},
  journal={Studia Mathematica},
  • D. Vogt
  • Published 2013
  • Mathematics
  • Studia Mathematica
It is shown that complemented subspaces of s, that is, nuclear Frechet 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 Whitneyjets on the Cantor set or the Sierpinski triangle and gives new results and also sheds new light on known results. 


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