MAPS PRESERVING JORDAN AND -JORDAN TRIPLE PRODUCT ON OPERATOR -ALGEBRAS

被引：3

作者：

Darvish, Vahid ^{[1
]}

Nouri, Mojtaba ^{[1
]}

Razeghi, Mehran ^{[1
]}

Taghavi, Ali ^{[1
]}

机构：

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

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 02期

关键词：

(*)-Jordan triple product; (*)-algebra; LIE ISOMORPHISMS; ASTERISK; ADDITIVITY;

D O I：

10.4134/BKMS.b180327

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A and B be two operator (*)-rings such that A is prime. In this paper, we show that if the map Phi : A -> B is bijective and preserves Jordan or (*)-Jordan triple product, then it is additive. Moreover, if Phi preserves Jordan triple product, we prove the multiplicativity or antimultiplicativity of Phi. Finally, we show that if A and B are two prime operator (*)-algebras, Psi : A -> B is bijective and preserves (*)-Jordan triple product, then Psi is a C-linear or conjugate C-linear (*)-isomorphism.

引用

页码：451 / 459

页数：9

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MAPS PRESERVING JORDAN AND *-JORDAN TRIPLE PRODUCT ON OPERATOR *-ALGEBRAS

MAPS PRESERVING JORDAN AND -JORDAN TRIPLE PRODUCT ON OPERATOR -ALGEBRAS