Projective descriptions of inductive limits of Fréchet sequence spaces

DOI10.1007/BF01195108zbMath0605.46002OpenAlexW2066936777MaRDI QIDQ1084288

José Bonet

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01195108

zbMATH Keywords

Fréchet spacesinductive limitsprojective and injective tensor productsprojective description of weighted inductive limits of spaces of null sequences valued in a Fréchet space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) 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)

Cites Work

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• Quojections and projective tensor products
• On weighted inductive limits of spaces of continuous functions
• Spaces of vector-valued continuous functions
• Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist.
• A Projective Description of Weighted Inductive Limits
• Frechet Spaces with Nuclear Kothe Quotients

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