Spaces of Whitney jets on self-similar sets

Dietmar Vogt. "Spaces of Whitney jets on self-similar sets." Studia Mathematica 218.1 (2013): 89-94. <http://eudml.org/doc/285671>.

@article{DietmarVogt2013,
abstract = {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.},
author = {Dietmar Vogt},
journal = {Studia Mathematica},
keywords = {Whitney jets; space ; Cantor set; Sierpiński triangle; self-similar set},
language = {eng},
number = {1},
pages = {89-94},
title = {Spaces of Whitney jets on self-similar sets},
url = {http://eudml.org/doc/285671},
volume = {218},
year = {2013},
}

TY - JOUR
AU - Dietmar Vogt
TI - Spaces of Whitney jets on self-similar sets
JO - Studia Mathematica
PY - 2013
VL - 218
IS - 1
SP - 89
EP - 94
AB - 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.
LA - eng
KW - Whitney jets; space ; Cantor set; Sierpiński triangle; self-similar set
UR - http://eudml.org/doc/285671
ER -