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Title
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Quantified functional analysis : recapturing the dual unit ball
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Author
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Abstract
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| We introduce the weak approach structure for an arbitrary locally convex approach space and generalize the results from [1] about the weak approach structure of a normed space. Hereto we carefully develop the notion of a closed dual unit ball in an abstract setting (as a special kind of absolutely convex subset) because it is this kind of structure on the algebraic dual that induces, in a dualitycompatible way, a locally convex approach structure on the original space. |
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Language
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English
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Source (journal)
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Results in mathematics. - Basel, 1984, currens
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Publication
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Basel
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2004
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ISSN
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1422-6383
[print]
1420-9012
[online]
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DOI
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10.1007/BF03323389
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Volume/pages
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45
:3-4
(2004)
, p. 359-369
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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