Some topological properties of the spaces of almost null andalmost convergent double sequences

Medine YEŞİLKAYAGİL; Feyzi BAŞAR

Makale detayları

Some topological properties of the spaces of almost null andalmost convergent double sequences

Yazarlar:

Medine YEŞİLKAYAGİL | Feyzi BAŞAR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.624-630

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746985

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let Cf0Cf0\mathcal{C}_{f_0} and CfCf\mathcal{C}_{f} denote the spaces of almost null and almost convergent double sequences, respectively. We show that Cf0Cf0\mathcal{C}_{f_0} and CfCf\mathcal{C}_{f} are BDK-spaces, barreled and bornological, but they are not monotone and so not solid. Additionally, we establish that both of the spaces Cf0Cf0\mathcal{C}_{f_0} and CfCf\mathcal{C}_{f} include the space BSBS\mathcal{BS} of bounded double series.

Makale detayları

Some topological properties of the spaces of almost null andalmost convergent double sequences

Yazarlar: Medine YEŞİLKAYAGİL | Feyzi BAŞAR

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.624-630

Belge Tipi: Makale

Yayın Tarihi: 5/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746985

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Medine YEŞİLKAYAGİL | Feyzi BAŞAR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.624-630

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746985

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098