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

Author

Listed:
  • Shiva Shah
  • Bipan Hazarika
  • Awd Bkri
  • Runda A. A. Bashir

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 c0(Γ) and c(Γ), 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.

Suggested Citation

  • Shiva Shah & Bipan Hazarika & Awd Bkri & Runda A. A. Bashir, 2025. "Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:6618427
    DOI: 10.1155/jom/6618427
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    References listed on IDEAS

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    1. Henryk Hudzik & Vatan Karakaya & Mohammad Mursaleen & Necip Simsek, 2014. "Banach-Saks Type and Gurariǐ Modulus of Convexity of Some Banach Sequence Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, March.
    2. Henryk Hudzik & Vatan Karakaya & Mohammad Mursaleen & Necip Simsek, 2014. "Banach‐Saks Type and Gurariǐ Modulus of Convexity of Some Banach Sequence Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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