Nonstandard Hulls of Lattice-Normed Ordered Vector Spaces
Functional Analysis
2016-12-19 v1
Abstract
Nonstandard hulls of a vector lattice were introduced and studied in \cite{E10,E9,E7,E5,E3}. In recent paper \cite{EG}, these notions were extended to ordered vector spaces. In the present paper, following the construction of associated Banach-Kantorovich space \cite{E8}, we describe and investigate nonstandard hull of a lattice-normed space, which is a generalization of nonstandard hull of a normed space.
Keywords
Cite
@article{arxiv.1612.05412,
title = {Nonstandard Hulls of Lattice-Normed Ordered Vector Spaces},
author = {A. Aydın and S. G. Gorokhova and H. Gül},
journal= {arXiv preprint arXiv:1612.05412},
year = {2016}
}
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12 pages