Characterization of Nonlinear Mixed Bi-Skew Lie Triple Derivations on ∗-Algebras-Reference-Cited by-同舟云学术

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

Published:2024-05-03 Issue:9 Volume:12 Page:1403
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Alsuraiheed Turki¹,Nisar Junaid²,Rehman Nadeem ur³^ORCID

Affiliation:

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

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

3. 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.

Funder

King Saud University, College of Science

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/9/1403/pdf

Reference12 articles.

1. Nonlinear mappings preserving Jordan multiple ∗-product on factor von-Neumann algebras;Huo;Linear Multilinear Algebra,2015

2. Nonlinear maps preserving the Jordan triple 1 ∗-Product on von Neumann Algebras;Li;Complex Anal. Oper. Theorey,2017

3. Nonlinear maps preserving the Jordan triple ∗-product on von Neumann Algebras;Li;Ann. Funct. Anal.,2016

4. Non-linear ∗-Jordan derivation on von Neumann algebras;Taghavi;Linear Multilinear Algebra,2016

5. Nonlinear maps preserving mixed Lie triple products on factor von Neumann algebras;Yang;Ann. Funct. Anal.,2019