Spaces of Whitney jets on self-similar sets

Volume 218 / 2013

Dietmar Vogt Studia Mathematica 218 (2013), 89-94 MSC: 46E10, 46A04, 46A63. DOI: 10.4064/sm218-1-5


It is shown that complemented subspaces of $s$, that is, nuclear \F s with properties (DN) and ${\rm (}\Omega {\rm )}$, 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.


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

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