Geodesic
Spaces of Whitney jets on self-similar sets
Dietmar Vogt1
1 Department of Mathematics Bergische Universität Wuppertal Gauss-Str. 20 42119 Wuppertal, Germany
Studia Mathematica, Tome 218 (2013) no. 1, pp. 89-94

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm218-1-5
Keywords: shown complemented subspaces nuclear properties omega which almost normwise isomorphic multiple direct sum copies themselves isomorphic applied instance spaces whitney jets cantor set sierpi ski triangle gives results sheds light known results

Dietmar Vogt 1

1 Department of Mathematics Bergische Universität Wuppertal Gauss-Str. 20 42119 Wuppertal, Germany 
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Dietmar Vogt. Spaces of Whitney jets on self-similar sets. Studia Mathematica, Tome 218 (2013) no. 1, pp. 89-94. doi: 10.4064/sm218-1-5

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