Paranorm I-convergent sequence spaces |
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Authors: | Biond Chandra Tripathy Bipan Hazarika |
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Affiliation: | (1) Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon Garchuk, Guwahati, 781 035, Assam, India;(2) Department 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 0 I (p), m I (p) and m 0 I (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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Keywords: | ideal filter I-convergent I-null paranorm |
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