Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces

We define the notions of double statistically convergent and double lacunary statistically convergent sequences in locally solid Riesz space 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...

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Bibliographic Details
Main Authors: S. A. Mohiuddine, Bipan Hazarika, Abdullah Alotaibi
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/507962

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