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Published: December 23,2020

Quite recently, the sequence spacehas been study in Altay and Başar and is given by

with , . Also, the characterization of various matrix classes has been given. Also, the significant classes of almost convergent sequence have been studied in Lorentz. Jalal and Ganie have well structured this sequence space to the spaces of almost convergence and characterize some matrix classes concerning to this approach. We aim in this paper to introduce the new generalized sequence spacevia, of non-absolute type for s≥0. Some new type of topological properties will be structured. Furthermore, we also examine for characterizing the matrix classes of the form , where f_{∞} , f and f_{0} denote respectively the spaces of almost bounded sequences, almost convergent sequences and almost sequences converging to zero.

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Almost Convergence Property of Generalized Riesz Spaces

**How to cite this paper:** Abdul Hamid Ganie, Dowlath Fathima. (2020) Almost Convergence Property of Generalized Riesz Spaces. Journal of Applied Mathematics and Computation, **4**(**4**), 249-253.

DOI: http://dx.doi.org/10.26855/jamc.2020.12.016