On bases in strict inductive and projective limits of locally convex spaces

DOI10.2140/pjm.1985.119.103zbMath0526.46009OpenAlexW2050346436MaRDI QIDQ595153

Vincenzo Bruno Moscatelli, Klaus Floret

Publication date: 1985

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1985.119.103

zbMATH Keywords

producthomomorphismunconditional basesdirect sumdecomposition lemmanon-existence of basesnuclear spacesstrict (LF)-spacesstrict inductive limitstrict projective limit

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Summability and bases in topological vector spaces (46A35)

Related Items (4)

A twisted Fréchet space with basis ⋮ A note on projective limits of \(LB\)-spaces ⋮ Continuous norms on locally convex strict inductive limit spaces ⋮ Unconditional bases in Fréchet-spaces

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