Authors: ABDULLAH AYDIN, SVETLANA GOROKHOVA, HASAN GÜL
Abstract: Nonstandard hulls of a vector lattice were introduced and studied in many papers. Recently, these notions were extended to ordered vector spaces. In the present paper, following the construction of associated Banach--Kantorovich space due to Emelyanov, we describe and investigate the nonstandard hull of a lattice-normed space, which is the foregoing generalization of Luxemburg's nonstandard hull of a normed space.
Keywords: Vector lattice, ordered vector space, lattice-normed space, decomposable lattice norm, associated Banach--Kantorovich space, lattice-normed ordered vector space, nonstandard hull
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