- Turkish Journal of Mathematics
- Vol: 40 Issue: 3
- Some topological properties of the spaces of almost null andalmost convergent double sequences
Some topological properties of the spaces of almost null andalmost convergent double sequences
Authors : Medine Yeşilkayagil, Feyzi Başar
Pages : 624-630
View : 5 | Download : 3
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let $\mathcal{C}_{f_0}$ and $\mathcal{C}_{f}$ denote the spaces of almost null and almost convergent double sequences, respectively. We show that $\mathcal{C}_{f_0}$ and $\mathcal{C}_{f}$ are BDK-spaces, barreled and bornological, but they are not monotone and so not solid. Additionally, we establish that both of the spaces $\mathcal{C}_{f_0}$ and $\mathcal{C}_{f}$ include the space $\mathcal{BS}$ of bounded double series.Keywords : Double sequence, Pringsheim convergence, almost convergence