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Characterization of Nonlinear Mixed Bi-Skew Lie Triple Derivations on ∗-Algebras

Author

Listed:
  • Turki Alsuraiheed

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Junaid Nisar

    (Symbiosis Institute of Technology, Symbiosis International (Deemed) University (SIU), Pune 412115, India)

  • Nadeem ur Rehman

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

Abstract

This paper concentrates on examining the characterization of nonlinear mixed bi-skew Lie triple ∗- derivations within an ∗-algebra denoted by A which contains a nontrivial projection with a unit I . Additionally, we expand this investigation to applications by describing these derivations within prime ∗-algebras, von Neumann algebras, and standard operator algebras.

Suggested Citation

  • Turki Alsuraiheed & Junaid Nisar & Nadeem ur Rehman, 2024. "Characterization of Nonlinear Mixed Bi-Skew Lie Triple Derivations on ∗-Algebras," Mathematics, MDPI, vol. 12(9), pages 1-9, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1403-:d:1388264
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