Abdullah AYDIN, Svetlana GOROKHOVA, Hasan GÜL

7386

Nonstandard hulls of lattice-normed ordered vector spaces

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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