Spectrally bounded φ-derivations on Banach algebras

被引：12

作者：

Lee, TK ^{[1
]}

Liu, CK ^{[1
]}

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 05期

关键词：

Radical; phi-derivation; Banach algebra; spectrally bounded mapping;

D O I：

10.1090/S0002-9939-04-07655-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Applying the density theorem on algebras with phi-derivations, we show that if a phi-derivation delta of a unital Banach algebra A is spectrally bounded, then [delta(A), A] subset of or equal to rad(A). Also, delta(A) subset of or equal to rad(A) if and only if sup{r(z(-1)delta(z)) | z is an element of A is invertible} < ∞, where r(a) denotes the spectral radius of a ∈ A.

引用

页码：1427 / 1435

页数：9

共 16 条

[1]

[Anonymous], 1976, LONDON MATH SOC LECT

[2] DERIVATIONS MAPPING INTO THE RADICAL .3. [J].