On weighted inductive limits of spaces of continuous functions

DOI10.1007/BF01162015zbMath0575.46025OpenAlexW1976782307MaRDI QIDQ1064516

José Bonet

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173710

zbMATH Keywords

reflexive Fréchet spacequojectionNachbin family(DF)-spaceprojective description of weighted inductive limits of spaces of continuous functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) 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) Inductive and projective limits in functional analysis (46M40)

Related Items (9)

Projective descriptions of inductive limits of Fréchet sequence spaces ⋮ On weighted spaces with a fundamental sequence of bounded sets ⋮ Multiplication operators on generalized weighted spaces of continuous functions ⋮ Unnamed Item ⋮ On bornological \(C\bar V(X)\) spaces ⋮ On the weighted function space \(CV_0 (X,E)\) in the non-Archimedean setting ⋮ A criterion for CV(X) to be quasinormable ⋮ Weighted composition operators on non locally convex weighted spaces with operator-valued weights ⋮ Weighted composition operators on non-locally convex weighted spaces

Cites Work

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• A note on strictly regular Fréchet spaces
• Quojections and projective tensor products
• The countable neighbourhood property and tensor products
• A Projective Description of Weighted Inductive Limits
• Inductive limits and ε-tensor products.
• Frechet Spaces with Nuclear Kothe Quotients

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