REAL ISOMETRIES BETWEEN JB-ASTERISK-TRIPLES

被引：32

作者：

DANG, T ^{[1
]}

机构：

[1] WRIGHT STATE UNIV,DEPT MATH & STAT,DAYTON,OH 45435

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 114卷 / 04期

关键词：

D O I：

10.2307/2159615

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that except for a certain class of J B*-triples (for which the result is false), real linear surjective isometries preserve the triple product. In particular, unital real linear isometries of C*-algebras are real linear Jordan *-isomorphisms.

引用

页码：971 / 980

页数：10

共 19 条

[11] THE GELFAND-NAIMARK THEOREM FOR JB-STAR-TRIPLES [J].