Symmetric amenability and Lie derivations

被引：21

作者：

Alaminos, J ^{[1
]}

Mathieu, M

Villena, AR

机构：

[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

[2] Queens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North Ireland

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2004年 / 137卷

关键词：

D O I：

10.1017/S0305004104007637

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every Lie derivation on a symmetrically amenable semisimple Banach algebra can be uniquely decomposed into the sum of' a derivation and a centre-valued trace.

引用

页码：433 / 439

页数：7

共 9 条

[1]

ALAMINOS J, 2004, IN PRESS MATH P CAMB

[2] Continuity of Lie derivations on Banach algebras [J].

Berenguer, MI ;

Villena, AR .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1998, 41 :625-630

[3]

Dales H. G., 2000, LONDON MATH SOC MONO, V24

[4] Symmetric amenability and the nonexistence of Lie and Jordan derivations [J].

Johnson, BE .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1996, 120 :455-473

[5] APPROXIMATE DIAGONALS AND COHOMOLOGY OF CERTAIN ANNIHILATOR BANACH ALGEBRAS [J].

JOHNSON, BE .

AMERICAN JOURNAL OF MATHEMATICS, 1972, 94 (03) :685-&

[6] The structure of Lie derivations on C*-algebras [J].

Mathieu, M ;

Villena, AR .

JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 202 (02) :504-525

[7]

Mathieu M, 2000, LECT NOTES PURE APPL, V211, P229

[8] Lie derivations on Banach algebras [J].

Villena, AR .

JOURNAL OF ALGEBRA, 2000, 226 (01) :390-409

[9]

[No title captured]

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