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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm218-1-5,
author = {Dietmar Vogt},
title = {Spaces of Whitney jets on self-similar sets},
journal = {Studia Mathematica},
volume = {215},
year = {2013},
pages = {89-94},
zbl = {1316.46024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm218-1-5}
}
Dietmar Vogt. Spaces of Whitney jets on self-similar sets. Studia Mathematica, Tome 215 (2013) pp. 89-94. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm218-1-5/