Nonlinear mixed type product [K, F]* o D on *-algebras

被引：0

作者：

Nisar, Junaid ^{[1
]}

Alsuraiheed, Turki ^{[2
]}

Rehman, Nadeem ur ^{[3
]}

机构：

[1] Symbiosis Int Deemed Univ, Symbiosis Inst Technol, Dept Appl Sci, Pune, India

[2] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 08期

关键词：

mixed bi-skew Jordan triple derivation; *-derivation; algebra; involution; DERIVATIONS;

D O I：

10.3934/math.20241049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let 5t be a unital *-algebra containing a non -trivial projection. In this paper, we prove that if a map SZ : 5t- 5t such that SZ ([ K, F ] * o D ) = [ SZ ( K ) , F ] * o D + [ K, SZ ( F )] * o D + [ K, F ] * o SZ ( D ) , where [ K, F ] * = KF - FK * and K o F = K * F + FK * for all K, F, D E 5t , then SZ is an additive *-derivation. Furthermore, we extend its results on factor von Neumann algebras, standard operator algebras and prime *-algebras. Additionally, we provide an example illustrating the existence of such maps.

引用

页码：21596 / 21608

页数：13

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