Nonstandard hulls of lattice-normed ordered vector spaces

2018-01-01
Aydin, Abdullah
Gorokhova, Svetlana
Gul, Hasan
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.
TURKISH JOURNAL OF MATHEMATICS

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Citation Formats
A. Aydin, S. Gorokhova, and H. Gul, “Nonstandard hulls of lattice-normed ordered vector spaces,” TURKISH JOURNAL OF MATHEMATICS, pp. 155–163, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66588.