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• W2054691246 abstract "In this note we introduce the concepts of Λ-Mackey sequence, Λ-Mackey convergence property, Λ-Schwartz family and associated Λ-Schwartz family and consider some applications of these to locally convex spaces. Hereby Λ denotes a Banach sequence space with the AK-property — the results of this paper generalize those in [ 4 ] where the case Λ = I 1 is considered. We obtain a dual characterization of those locally convex spaces which satisfy the Λ-Mackey convergence property and characterize the dual Λ-Schwartz spaces in terms of the SM-property which is introduced in [ 10 ]. Finally, necessary and sufficient condition for a locally convex space to be ultra-bornological is proved." @default.
• W2054691246 created "2016-06-24" @default.
• W2054691246 creator A5038517091 @default.
• W2054691246 date "1984-11-01" @default.
• W2054691246 modified "2023-09-26" @default.
• W2054691246 title "On ∧-Mackey convergence in locally convex spaces" @default.
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• W2054691246 doi "https://doi.org/10.1017/s0305004100062423" @default.
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