Paranorm I-convergent sequence spaces

Binod Chandra Tripathy1, Bipan Hazarika2
1Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon Garchuk, Guwahati, 781 035, Assam, India
2Department of Mathematics, Rajiv Gandhi University, Doimukh Itanagar, 791 112, Arunachal Pradesh, India

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Abstract In this article we introduced the sequence spaces c I(p), c 0I(p), m I(p) and m 0I(p) for p = (p k), a sequence of positive real numbers. We study some algebraic and topological properties of these spaces. We prove the decomposition theorem and obtain some inclusion relations.

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