Einbettbarkeit in den Bidualraum und Darstellbarkeit als projektiver Limes in Kategorien von Limesvektorräumen

DOI10.1002/mana.19790930108zbMath0441.46003OpenAlexW2012250338MaRDI QIDQ3882959

Sten Bjon

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1002/mana.19790930108

zbMATH Keywords

continuous convergencelocal uniform convergencebornologyabsolutely convex convergence vector spacescanonical Marinescu convergencedualization functorsembeddability propertiesMackey convergence for filterspolar convex bornological vector spaces

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) General theory of locally convex spaces (46A03) Barrelled spaces, bornological spaces (46A08) Duality theory for topological vector spaces (46A20) Inductive and projective limits in functional analysis (46M40) Categories, functors in functional analysis (46M15) Topological linear spaces and related structures (46A99)

Related Items (8)

One-parameter semigroups of operators on \(L_c\)-embedded spaces. ⋮ On an integral transform by R. S. Phillips ⋮ Schwartz spaces and compact holomorphic mappings ⋮ The Schwartz property and nuclearity of spaces of smooth and holomorphic functions in infinite dimensions ⋮ Continuous convergence and the closed-graph theorem ⋮ Characterization of Schwartz Spaces by their Holomorphic Duals ⋮ On Schwartz Convergence Vector Spaces ⋮ A general approach to infinite-dimensional holomorphy

Cites Work

• Continuous convergence on C(X)
• Unnamed Item

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