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Nonstandard hulls of lattice-normed ordered vector spaces
Date
2018-01-01
Author
Aydin, Abdullah
Gorokhova, Svetlana
Gul, Hasan
Metadata
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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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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.