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Title
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Locally convex approach spaces
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Author
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Abstract
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| We continue the investigation of suitable structures for quantified functional analysis, by looking at the notion of local convexity in the setting of approach vector spaces as introduced in [6]. We prove that the locally convex objects are exactly the ones generated (in the usual approach sense) by collections of seminorms. Furthermore, we construct a quantified version of the projective tensor product and show that the locally convex objects admitting a decent exponential law with respect to it are precisely the seminormed spaces. |
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Language
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English
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Source (journal)
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Applied general topology / Universidad Politécnica de Valencia. - Valencia, Spain, 2000, currens
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Publication
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Valencia, Spain
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Universidad Politécnica de Valencia
,
2003
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ISSN
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1576-9402
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Volume/pages
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4
:2
(2003)
, p. 263-279
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Full text (open access)
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