MAPS PRESERVING JORDAN TRIPLE PRODUCT A*B

被引：0

作者：

Taghavi, Ali ^{[1
]}

Nouri, Mojtaba ^{[1
]}

Razeghi, Mehran ^{[1
]}

Darvish, Vahid ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, POB 47416-1468, Babol Sar, Iran

来源：

KOREAN JOURNAL OF MATHEMATICS | 2018年 / 26卷 / 01期

关键词：

Jordan triple product; *-isomorphism; Prime *-algebras;

D O I：

10.11568/kjm.2018.26.1.61

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A and B be two prime *-algebras. Let (I) : A -> B be a bijective and satisfies (Phi(A . B . A) = Phi(A) . Phi(B) . Phi(A), for all A, B is an element of A where A . B = A*B + BA*. Then, Phi is additive. Moreover, if Phi(I) is idempotent then we show that Phi is N-linear *-isomorphism.

引用

页码：61 / 74

页数：14

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