On weighted spaces with a fundamental sequence of bounded sets

DOI10.1007/BF01189866zbMath0612.46026MaRDI QIDQ1088115

B. George

Publication date: 1986

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

zbMATH Keywords

completely regular Hausdorff spaceweighted spaceNachbin familyquasibarrelled space(gDF)-spaceassociated (gDF)-topologyfundamental sequence of bounded setssolid subspace

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08)

Related Items (6)

Multiplication operators on generalized weighted spaces of continuous functions ⋮ 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 ⋮ Completeness of the (LB)-spaces \({\mathcal V}C(X)\) ⋮ Weighted algebras of continuous functions

Cites Work

• On weighted inductive limits of spaces of continuous functions
• Espaces de fonctions continues
• Topological vector spaces. The theory without convexity conditions
• A Projective Description of Weighted Inductive Limits
• The Localization of the Strict Topology Via Bounded Sets
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