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

Yeşilkayagil M., Başar F.

Turkish Journal of Mathematics, cilt.40, sa.3, ss.624-630, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1504-52
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.624-630
  • Anahtar Kelimeler: Almost convergence, Double sequence, Pringsheim convergence
  • Uşak Üniversitesi Adresli: Evet

Özet

Let Cf0 and Cf denote the spaces of almost null and almost convergent double sequences, respectively. We show that Cf0 and Cf are BDK-spaces, barreled and bornological, but they are not monotone and so not solid. Additionally, we establish that both of the spaces Cf0 and Cf include the space BS of bounded double series.