On a class of projections on *-rings

被引：14

作者：

Fosner, M

Ilisevic, D

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10002, Croatia

[2] Inst Math Phys & Mech, Ljubljana, Slovenia

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 09期

关键词：

(*)-ring; ideal; bicircular projection; C*-algebra; derivation; double centralizer; essential ideal; multiplier; projection;

D O I：

10.1081/AGB-200066168

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we describe the structure of projections acting on semiprime *-rings and satisfying a certain functional identity. The main result is applied to bicircular projections on C*-algebras.

引用

页码：3293 / 3310

页数：18

共 7 条

[1]

Ara P., 2003, SPRINGER MG MATH

[2]

Arveson W.B., 1976, GRAD TEXTS MATH, V39

[3] JORDAN MAPPINGS OF SEMIPRIME RINGS [J].

BRESAR, M .

JOURNAL OF ALGEBRA, 1989, 127 (01) :218-228

[4] DOUBLE CENTRALIZERS AND EXTENSIONS OF C]-ALGEBRAS [J].

BUSBY, RC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 132 (01) :79-&

[5] AFFINE GEOMETRIC PROOFS OF THE BANACH STONE THEOREMS OF KADISON AND KAUP [J].

DANG, T ;

FRIEDMAN, Y ;

RUSSO, B .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1990, 20 (02) :409-428

[6]

Murphy GJ, 1990, C ALGEBRAS OPERATOR, DOI DOI 10.1016/C2009-0-22289-6

[7] Bicircular projections on some matrix and operator spaces [J].

Stachó, LL ;

Zalar, B .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 384 :9-20

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