Kothe's Example of an Incomplete LB-Space

DOI10.2307/2044557zbMath0526.46005OpenAlexW4241235451MaRDI QIDQ3041748

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Publication date: 1985

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2044557

zbMATH Keywords

LF-spaceLB-spacefast completenessnuclear Fréchet spaces with an incomplete inductive limit

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) 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) Duality theory for topological vector spaces (46A20) Inductive and projective limits in functional analysis (46M40)

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