Non-quasianalytic curves in Frechet spaces

被引：0
|
作者：
Juan-Huguet, Jordi [1 ]
机构：
[1] Univ Politecn Valencia, Inst Matemat Pura & Aplicada IUMPA, E-46071 Valencia, Spain
来源：
MONATSHEFTE FUR MATHEMATIK | 2011年 / 164卷 / 04期
关键词：
Non-quasianalytic classes; Vector valued ultradifferentiable functions; Frechet spaces; Property (DN); PARTIAL-DIFFERENTIAL-EQUATIONS; ULTRADISTRIBUTIONS; DEPENDENCE; OPERATORS; MAPPINGS;
D O I：
10.1007/s00605-010-0243-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that every weakly non-quasianalytic ultradifferentiable curve with values in a Frechet space E is topologically (or strongly) ultradifferentiable if and only if the space E satisfies the topological invariant (DN), thus solving a problem posed by Kriegl and Michor.
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页码：427 / 437
页数：11
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