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

收藏

页码：971 / 980

页数：10

相关论文

共 19 条

[1]

[Anonymous], 1973, LECT NOTES MATH

[2] WEAK STAR-CONTINUITY OF JORDAN TRIPLE PRODUCTS AND ITS APPLICATIONS [J].

BARTON, T ;

TIMONEY, RM .

MATHEMATICA SCANDINAVICA, 1986, 59 (02) :177-191

[3] NORMAL REPRESENTATIONS OF BANACH JORDAN TRIPLE-SYSTEMS [J].

BARTON, TJ ;

DANG, T ;

HORN, G .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 102 (03) :551-555

[4]

Bratteli O., 1979, OPERATOR ALGEBRAS QU, VI

[5] CLASSIFICATION OF JBW-STAR-TRIPLE FACTORS AND APPLICATIONS [J].

DANG, T ;

FRIEDMAN, Y .

MATHEMATICA SCANDINAVICA, 1987, 61 (02) :292-330

[6]

DANG T, IN PRESS ROCKY MOUNT

[7] COMPLETE HOLOMORPHIC VECTOR-FIELDS ON THE 2ND DUAL OF A BANACH-SPACE [J].

DINEEN, S .

MATHEMATICA SCANDINAVICA, 1986, 59 (01) :131-142

[8]

Edwards C. M., 1988, J LOND MATH SOC, V38, P317

[9] A GEOMETRIC SPECTRAL THEOREM [J].

FRIEDMAN, Y ;

RUSSO, B .

QUARTERLY JOURNAL OF MATHEMATICS, 1986, 37 (147) :263-277

[10] ADDITIVITY OF QUADRATIC MAPS [J].

FRIEDMAN, Y ;

HAKEDA, J .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1988, 24 (05) :707-722