Nonstandard hulls of lattice-normed ordered vector spaces

Date

2018-01-01

Author

Aydin, Abdullah
Gorokhova, Svetlana
Gul, Hasan

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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.

Subject Keywords

Vector lattice, Ordered vector space, Lattice-normed space, Decomposable lattice norm, Associated Banach-Kantorovich space, Lattice-normed ordered vector space, Nonstandard hull

URI

https://hdl.handle.net/11511/66588

Journal

TURKISH JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.3906/mat-1612-59

Collections

Department of Mathematics, Article

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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.