Mohiuddine, S. A.; Hazarika, Bipan; Alotaibi, Abdullah Double lacunary density and some inclusion results in locally solid Riesz spaces. (English) Zbl 1306.40005 Abstr. Appl. Anal. 2013, Article ID 507962, 8 p. (2013). Summary: We define the notions of double statistically convergent and double lacunary statistically convergent sequences in locally solid Riesz spaces and establish some inclusion relations between them. We also prove an extension of a decomposition theorem in this setup. Further, we introduce the concepts of double \(\theta \)-summable and double statistically lacunary summable in locally solid Riesz space and establish a relationship between these notions. 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