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Characterization of Normed Linear Space Z_p as Banach and Hilbert Space

Mansur Aliyu Mungadi Aliyu Mungadi

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Abstract

AbstractAunu permutation pattern are a class of (123) and (132) - avoiding pattern with special properties associated with succession scheme. These patterns have been used extensively in the formulation of different structures such as group, graph, and in the study of different algebraic schemes such as cyclic design and circuit design; This research showed the application of the Aunu permutation pattern in the formulation of other different algebraic and topological structure, the research review the Aunu permutation pattern and impose topological structure on them, also characterized the topological structure such as Normed Linear Space Z_p as Banach space and Hilbert space. These research uses, prime number p where p 5.

Copyright

Copyright © 2025 Mansur Aliyu Mungadi. This is an open access article distributed under the Creative Commons Attribution License.

Paper Details
Paper ID: IJPREMS50500027669
ISSN: 2321-9653
Publisher: ijprems
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