Dieudonne-Schwartz Theorem in Inductive Limits of Metrizable Spaces

DOI10.2307/2045196zbMath0563.46005OpenAlexW3144542568MaRDI QIDQ3676646

Jing-Hui Qiu

Publication date: 1984

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

Full work available at URL: https://doi.org/10.2307/2045196

zbMATH Keywords

Fréchet spacesDieudonné-Schwartz theorem for bounded sets in strict inductive limitsgeneral inductive limits

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) Inductive and projective limits in functional analysis (46M40)

Related Items (4)

Retakh's conditions and regularity properties of (LF)-spaces ⋮ Bounded Sets in (LF)-Spaces ⋮ Closed bounded sets in inductive limits of $\Cal K$-spaces ⋮ Weak property \((Y_0)\) and regularity of inductive limits

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