Completeness of the (LB)-spaces \({\mathcal V}C(X)\)

DOI10.1007/BF01190216zbMath0688.46004OpenAlexW1964368311MaRDI QIDQ1263791

Klaus Dieter Bierstedt, José Bonet

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf01190216

zbMATH Keywords

(LB)-spacesconditionsco-echelon spacecompleteness of inductive limitsweighted locally convex inductive limit of spaces of continuous functions with \({\mathcal O}\)-groth

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) Inductive and projective limits in functional analysis (46M40) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (8)

Multiplication operators on generalized weighted spaces of continuous functions ⋮ Unnamed Item ⋮ Weighted (LF)‐spaces of Continuous Functions ⋮ Kernel theorems for Beurling-Björck type spaces ⋮ Weighted composition operators on non locally convex weighted spaces with operator-valued weights ⋮ Bornological projective limits of inductive limits of normed spaces ⋮ Mean ergodic multiplication operators on weighted spaces of continuous functions ⋮ On \(m\)-convexity in \(CV_{(0)}(X,A)\)

Cites Work

• On weighted spaces with a fundamental sequence of bounded sets
• A Projective Description of Weighted Inductive Limits
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