Nonstandard hulls of vector lattices

Date

1994-01-01

Author

Emelyanov, Eduard

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URI

https://hdl.handle.net/11511/94819

Journal

SIBERIAN MATHEMATICAL JOURNAL

DOI

https://doi.org/10.1007/bf02104949

Collections

Department of Mathematics, Article

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Nonstandard hulls of lattice-normed ordered vector spaces Aydin, Abdullah; Gorokhova, Svetlana; Gul, Hasan (2018-01-01) 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.
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Citation Formats

E. Emelyanov, “Nonstandard hulls of vector lattices,” SIBERIAN MATHEMATICAL JOURNAL, vol. 35, no. 1, pp. 77–87, 1994, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94819.