Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties

Shiva Shah, Bipan Hazarika, Awd Bkri and Runda A. A. Bashir

Journal of Mathematics, 2025, vol. 2025, 1-24

Abstract: In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0Γ and cΓ, as well as lpΓ for 1≤p≤∞, all of which are linked to the newly defined regular Copper Lucas matrix Γ. Our study explores various properties and inclusion relationships among these spaces, establishes a Schauder basis, and α-, β-, and γ- duals. In addition, we characterize the connections between the newly defined matrix classes and classical sequence spaces. We also examine the compactness of matrix operators within these associated sequence spaces and provide results related to specific operator ideals. Finally, we investigate the geometric properties of the associated sequence spaces.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6618427

DOI: 10.1155/jom/6618427

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