Topological properties of some sequences defined over n-normed spaces




Orlicz function, n−norm, Paranormed spaces, Completeness, Solidity


Some classes of real number sequences over n− normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space are investigated. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under various parameters and conditions. Finally, the spaces are investigated for some other useful properties.

Author Biography

Tanweer Jalal, National Institute of Technology.

 Dept. of Mathematics.


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How to Cite

T. Jalal, “Topological properties of some sequences defined over n-normed spaces”, Proyecciones (Antofagasta, On line), vol. 39, no. 5, pp. 1137-1155, Oct. 2020.