Nonstandard hulls of lattice-normed ordered vector spaces

Abdullah AYDIN; Svetlana GOROKHOVA; Hasan GÜL

Makale detayları

Nonstandard hulls of lattice-normed ordered vector spaces

Yazarlar:

Abdullah AYDIN | Svetlana GOROKHOVA | Hasan GÜL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.155-163

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745943

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

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.

Makale detayları

Nonstandard hulls of lattice-normed ordered vector spaces

Yazarlar: Abdullah AYDIN | Svetlana GOROKHOVA | Hasan GÜL

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.155-163

Belge Tipi: Makale

Yayın Tarihi: 1/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745943

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Abdullah AYDIN | Svetlana GOROKHOVA | Hasan GÜL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.155-163

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745943

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098