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Double sequence spaces characterized by lacunary sequences. (English) Zbl 1152.40303
Summary: G. Das and B. K. Patel [Indian J. Pure Appl. Math. 20, 64–74 (1989; Zbl 0726.40002)] considered known sequence spaces to define two new sequence spaces called lacunary almost convergent and lacunary strongly almost convergent sequence spaces, and proved two inclusion theorems with respect to those spaces. In this paper, we shall extend those spaces to two new double sequence spaces and prove multidimensional analogues of Das and Patel’s results.
MSC:
40A05Convergence and divergence of series and sequences