Jordan maps on triangular algebras

被引：24

作者：

Peisheng, Ji ^{[1
]}

机构：

[1] Qingdao Univ, Dept Math, Qingdao 266071, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 426卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Jordan maps; triangular algebras; additivity;

D O I：

10.1016/j.laa.2007.04.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T be a triangular algebra and R' be an arbitrary ring. Suppose that M : T -> R'and M* : R' -> T are surjective maps such that M(aM*(x) + M*(x)a) = M(a)x +xM(a), M*(M(a)x + xM(a)) = a M*(x) + M*(x)a for all a is an element of T, x is an element of R'. In this paper, we give sufficient conditions on T such that both M and M* are additive. In particular, if T is a standard subalgebra of a nest algebra, then both M and M* are additive. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：190 / 198

页数：9

共 11 条

[1] Lie derivations of triangular algebras [J].

Cheung, WS .

LINEAR & MULTILINEAR ALGEBRA, 2003, 51 (03) :299-310

[2] Commuting maps of triangular algebras [J].

Cheung, WS .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2001, 63 :117-127

[3]

CHEUNG WS, THESIS U VIC

[4] ADDITIVITY OF JORDAN STAR-MAPS BETWEEN OPERATOR-ALGEBRAS [J].

HAKEDA, J ;

SAITO, K .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1986, 38 (03) :403-408

[5] ADDITIVITY OF JORDAN-STAR-MAPS ON AW-STAR-ALGEBRAS [J].

HAKEDA, J .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 96 (03) :413-420

[6] Jordan maps of nest algebras [J].

Ling, ZC ;

Lu, FY .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 387 :361-368

[7] Multiplicative mappings of operator algebras [J].

Lu, FY .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 347 (1-3) :283-291

[8] Jordan maps on associative algebras [J].

Lu, FY .

COMMUNICATIONS IN ALGEBRA, 2003, 31 (05) :2273-2286

[9] Additivity of Jordan maps on standard operator algebras [J].

Lu, FY .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 357 :123-131

[10] WHEN ARE MULTIPLICATIVE MAPPINGS ADDITIVE [J].

MARTINDALE, WS .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 21 (03) :695-+

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