Highly Influenced

@article{Mursaleen2006MatrixTB, title={Matrix transformations between the spaces of Ces{\`a}ro sequences and invariant means}, author={Mohammad Mursaleen and Ekrem Savas and M. Aiyub and Syed Abdul Mohiuddine}, journal={Int. J. Math. Mathematical Sciences}, year={2006}, volume={2006}, pages={74319:1-74319:8} }

- Published 2006 in Int. J. Math. Mathematical Sciences
DOI:10.1155/IJMMS/2006/74319

Let ω be the space of all sequences, real or complex, and let l∞ and c, respectively, be the Banach spaces of bounded and convergent sequences x = (xn) with norm ‖x‖ = supk≥0 |xk|. Let σ be a mapping of the set of positive integers into itself. A continuous linear functional φ on l∞ is said to be an invariant mean or a σmean if and only if (i) φ(x) ≥ 0, when the sequence x = (xn) has xn ≥ 0 for each n; (ii) φ(e) = 1, where e = (1,1,1, . . .); and (iii) φ((xσ(n)))= φ(x), x ∈ l∞. For certain… CONTINUE READING

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