On some I-convergent sequence spaces defined by a compact operator

Vakeel A. Khan, Mohd Shafiq, Rami Kamel Ahmad Rababah, Ayhan Esi


In this article we introduce and study I-convergent sequence spaces S^{I}, Sā‚€^{I} and S_{āˆž}^{I} with the help of a compact operator T on the real space R. We study some topological and algebraic properties, prove the decomposition theorem and study some inclusion relations on these spaces.

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