caa a22 4500 445868813 CHVBK 20180317145505.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00605-010-0243-7 doi (NATIONALLICENCE)springer-10.1007/s00605-010-0243-7 Juan-Huguet Jordi Instituto de Matemática Pura y Aplicada IUMPA, Universidad Politécnica de Valencia, 46071, Valencia, Spain aut Non-quasianalytic curves in Fréchet spaces [Elektronische Daten] [Jordi Juan-Huguet] It is proved that every weakly non-quasianalytic ultradifferentiable curve with values in a Fréchet 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. Springer-Verlag, 2010 Non-quasianalytic classes nationallicence Vector valued ultradifferentiable functions nationallicence Fréchet spaces nationallicence Property (DN) nationallicence Monatshefte für Mathematik Springer Vienna 164/4(2011-12-01), 427-437 0026-9255 164:4<427 2011 164 605 https://doi.org/10.1007/s00605-010-0243-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0243-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Juan-Huguet Jordi Instituto de Matemática Pura y Aplicada IUMPA, Universidad Politécnica de Valencia, 46071, Valencia, Spain aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 164/4(2011-12-01), 427-437 0026-9255 164:4<427 2011 164 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer