Nuclear Fréchet spaces with basis do not have the three-space property

DOI10.1007/BF01190233zbMath0628.46003OpenAlexW1992950639MaRDI QIDQ1093132

Vincenzo Bruno Moscatelli, Metafune, Giorgio

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190233

zbMATH Keywords

property of being not twisted is not a three-space property

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Cites Work

• Unconditional bases in Fréchet-spaces
• Charakterisierung der Unterräume von \((s)\)
• Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
• Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ

This page was built for publication: Nuclear Fréchet spaces with basis do not have the three-space property