On the difference spaces of almost convergent and strongly almost convergent double sequences


Capan H., Basar F.

POSITIVITY, cilt.23, ss.493-506, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 23 Konu: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s11117-018-0620-3
  • Dergi Adı: POSITIVITY
  • Sayfa Sayıları: ss.493-506

Özet

In this paper, we study the difference spaces F(), F0(), [F]() and [F]0() of double sequences obtained as the domain of four-dimensional backward difference matrix in the spaces F, F0, [F] and [F]0 of almost convergent, almost null, strongly almost convergent and strongly almost null double sequences; respectively. We examine general topological properties of those spaces and give some inclusion theorems. Furthermore, we deal with their dual spaces.