Nonstandard Hulls of Lattice-Normed Ordered Vector Spaces
Abstract
Nonstandard hulls of a vector lattice were introduced and studied in E10,E9,E7,E5,E3. In recent paper EG, these notions were extended to ordered vector spaces. In the present paper, following the construction of associated Banach-Kantorovich space 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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