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, MEDİNE and BAŞAR, FEYZİ
(2016)
"Some topological properties of the spaces of almost null andalmost convergent double sequences,"
Turkish Journal of Mathematics: Vol. 40:
No.
3, Article 12.
https://doi.org/10.3906/mat-1504-52
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss3/12
