Özet:
The notion of ideal convergence in 2-normed spaces was defined and studied by Gurdal [1] for single real sequences. After Gurdal work Saeed Sarabadan and Sorayya Talebi [2] defined and studied the notion of ideal convergence in 2-normed spaces for double sequences. The space of all double sequences of sigma-bounded variation has been defined and studied by Vakeel [3]. In this present article we are working on to connect the above two studies and define some new spaces double sequences of sigma-bounded variation in 2-normed spaces using the moduli F=(f(ij)) and some others operators as well. Further, we study basic topological and algebraic properties and prove some inclusion relations on these spaces.
