Spaces of Whitney jets on self-similar sets

被引：0
|
作者：
Vogt, Dietmar [1 ]
机构：
[1] Berg Univ Wuppertal, Dept Math, D-42119 Wuppertal, Germany
来源：
STUDIA MATHEMATICA | 2013年 / 218卷 / 01期
关键词：
Whitney jets; space s; Cantor set; Sierphiski triangle;
D O I：
10.4064/sm218-1-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that complemented subspaces of s, that is, nuclear Frechet spaces with properties (DN) and (Omega), 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 Sierphiski triangle and gives new results and also sheds new light on known results.
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页码：89 / 94
页数：6
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