NONLINEAR MAPS PRESERVING THE LEFT BI-SKEW JORDAN PRODUCT ON ∗-ALGEBRAS

Authors

  • Maryam Ahmad Al-Towailb Department of Computer Science and engineering, College of Applied Studies, King Saud University, Riyadh, Saudi Arabia Author
  • Raof Ahmad Bhat Department of Mathematics, Malla Reddy University, Maisammaguda, Hyderabad-500100, telangana, India Author

DOI:

https://doi.org/10.2298/FIL2607531A

Abstract

 Let R and C represent two unital ∗-algebras such that R possesses a nontrivial projection. In the present article, we study, under certain mild assumptions, if a bijective map ζ : R → C preserves the left   biskew Jordan product, then ζ is R-linear ring ∗-isomorphism . Furthermore, this result is investigated on factor von Neumann algebras, prime ∗-algebras.

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Published

2026-03-30

Issue

Vol. 40 No. 07 (2026)

Section

Articles