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arxiv: 1612.05412 · v1 · pith:PC7MI3GInew · submitted 2016-12-16 · 🧮 math.FA

Nonstandard Hulls of Lattice-Normed Ordered Vector Spaces

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keywords nonstandardcitespacevectorhullhullslattice-normedordered
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Nonstandard hulls of a vector lattice were introduced and studied in \cite{E10,E9,E7,E5,E3}. In recent paper \cite{EG}, these notions were extended to ordered vector spaces. In the present paper, following the construction of associated Banach-Kantorovich space \cite{E8}, we describe and investigate nonstandard hull of a lattice-normed space, which is a generalization of nonstandard hull of a normed space.

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