Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1612-59
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, A, GOROKHOVA, S, & GÜL, H (2018). Nonstandard hulls of lattice-normed ordered vector spaces. Turkish Journal of Mathematics 42 (1): 155-163. https://doi.org/10.3906/mat-1612-59
