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On m-barrellation and dual local completeness in spaces of continuous functions with vector values possessing the topology of pointwise convergence - MaRDI portal

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On m-barrellation and dual local completeness in spaces of continuous functions with vector values possessing the topology of pointwise convergence (Q1069101)

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scientific article; zbMATH DE number 3931757
Language Label Description Also known as
English
On m-barrellation and dual local completeness in spaces of continuous functions with vector values possessing the topology of pointwise convergence
scientific article; zbMATH DE number 3931757

    Statements

    On m-barrellation and dual local completeness in spaces of continuous functions with vector values possessing the topology of pointwise convergence (English)
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    1984
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    We give conditions on \(C_ s(X)\) and E[\({\mathfrak T}]\) for C(X,E)[\({\mathfrak T}_ s]\) to be m-barrelled (dual locally complete) and we obtain the m- barrelled topology associated to \({\mathfrak T}_ s\) in terms of the m- barrelled topology associated to \({\mathfrak T}\) when \(C_ s(X)\) is a barrelled space.
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    m-barrelled topology
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