SKEW DERIVATIONS IN BANACH ALGEBRAS

被引：5

作者：

Liau, Pao-Kuei ^{[1
]}

Liu, Cheng-Kai ^{[1
]}

机构：

[1] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2015年 / 58卷 / 03期

关键词：

Banach algebra; quasinilpotent; radical; skew derivation; JACOBSON DENSITY-THEOREM; AUTOMATIC-CONTINUITY; PRIMITIVE-IDEALS; PHI-DERIVATIONS; FINITE SUMS; COMMUTATORS; RINGS;

D O I：

10.1017/S001309151500005X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the global versions of the Kleinecke-Shirokov theorem for skew derivations in Banach algebras. Centralizing skew derivations on Banach algebras are also studied.

引用

页码：683 / 696

页数：14

共 39 条

[1] On Φ-derivation in Banach algebras [J].

Abdelali, Z .

COMMUNICATIONS IN ALGEBRA, 2006, 34 (07) :2437-2452

[2]

[Anonymous], 1976, LONDON MATH SOC LECT

[3]

BEIDAR K. I., 2000, ALGEBRA RINGS RELATE, P5

[4] Extended Jacobson density theorem for rings with derivations and automorphisms [J].

Beidar, KI ;

Bresar, M .

ISRAEL JOURNAL OF MATHEMATICS, 2001, 122 (1) :317-346

[5] DERIVATIONS OF NONCOMMUTATIVE BANACH-ALGEBRAS [J].

BRESAR, M ;

VUKMAN, J .

ARCHIV DER MATHEMATIK, 1992, 59 (04) :363-370

[6]

Bresar M, 1996, STUD MATH, V120, P47

[7] On locally linearly dependent operators and derivations [J].

Bresar, M ;

Semrl, P .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 351 (03) :1257-1275

[8] A Kleinecke-Shirokov type condition with Jordan automorphisms [J].

Bresar, M ;

Fosner, A ;

Fosner, M .

STUDIA MATHEMATICA, 2001, 147 (03) :237-242

[9] The noncommutative Singer-Wermer conjecture and φ-derivations [J].

Bresar, M ;

Villena, AR .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2002, 66 :710-720

[10] DERIVATIONS OF NONCOMMUTATIVE BANACH-ALGEBRAS .2. [J].

BRESAR, M .

ARCHIV DER MATHEMATIK, 1994, 63 (01) :56-59

← 1 2 3 4 →