Multiplicative order convergence in fff-algebras

Abdullah AYDIN

doi:https://doi.org/10.15672/hujms.512073

Makale detayları

Multiplicative order convergence in fff-algebras

Yazarlar:

Abdullah AYDIN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 3, pp.998-1005

Belge Tipi:

Makale

Yayın Tarihi:

6/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000451070

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.512073

Özet:

 

A net (xα)(xα)(x_\alpha) in an fff-algebra EEE is said to be multiplicative order convergent to x∈Ex∈Ex\in E if |xα−x|u\oc0|xα−x|u\oc0\left|x_\alpha-x\right|u\oc 0 for all u∈E+u∈E+u\in E_+. In this paper, we introduce the notions momomo-convergence, momomo-Cauchy, momomo-complete, momomo-continuous, and momomo-KB-space. Moreover, we study the basic properties of these notions.

Makale detayları

Multiplicative order convergence in fff-algebras

Yazarlar: Abdullah AYDIN

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 3, pp.998-1005

Belge Tipi: Makale

Yayın Tarihi: 6/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000451070

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.512073

Sayı

Yazarlar:

Abdullah AYDIN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 3, pp.998-1005

Belge Tipi:

Makale

Yayın Tarihi:

6/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000451070

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.512073