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

In this paper, we study the difference spaces ({mathcal {F}}(varDelta )), ({mathcal {F}}_0(varDelta )), ({mathcal {[F]}}(varDelta )) and ({mathcal {[F]}}_0(varDelta )) of double sequences obtained as the domain of four-dimensional backward difference matrix (varDelta ) in the spaces ({mathcal {F}}), ({mathcal {F}}_{0}), ({mathcal {[F]}}) and ({mathcal {[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.