Turkish Journal of Mathematics
DOI
10.3906/mat-1612-59
Abstract
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.
Keywords
Vector lattice, ordered vector space, lattice-normed space, decomposable lattice norm, associated Banach--Kantorovich space, lattice-normed ordered vector space, nonstandard hull
First Page
155
Last Page
163
Recommended Citation
AYDIN, ABDULLAH; GOROKHOVA, SVETLANA; and GÜL, HASAN
(2018)
"Nonstandard hulls of lattice-normed ordered vector spaces,"
Turkish Journal of Mathematics: Vol. 42:
No.
1, Article 14.
https://doi.org/10.3906/mat-1612-59
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss1/14
