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.

引用

页码：427 / 437

页数：11

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