Invariant and Absolute Invariant Means of Double Sequences

We examine some properties of the invariant mean, define the concepts of strong σ-convergence and absolute σ-convergence for double sequences, and determine the associated sublinear functionals. We also define the absolute invariant mean through which the space of absolutely σ-convergent double sequ...

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Bibliographic Details
Main Authors: Abdullah Alotaibi, M. Mursaleen, M. A. Alghamdi
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/465364