Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1504-52
Keywords
Double sequence, Pringsheim convergence, almost convergence
First Page
624
Last Page
630
Recommended Citation
YEŞİLKAYAGİL, M, & BAŞAR, F (2016). Some topological properties of the spaces of almost null andalmost convergent double sequences. Turkish Journal of Mathematics 40 (3): 624-630. https://doi.org/10.3906/mat-1504-52
