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

Turki Alsuraiheed, Junaid Nisar () and Nadeem ur Rehman
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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

Mathematics, 2024, vol. 12, issue 9, 1-9

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.

Keywords: mixed bi-skew Lie triple derivation; ?-derivation; ?-algebra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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