Spectrally bounded φ-derivations on Banach algebras

Tsiu Kwen Lee, Cheng Kai Liu

研究成果: Article同行評審

8 引文 斯高帕斯(Scopus)

摘要

Applying the density theorem on algebras with φ-derivations, we show that if a φ-derivation δ of a unital Banach algebra A is spectrally bounded, then [δ(A), A] ⊆ rad(A). Also, δ(A) ⊆ rad(A) if and only if sup{r(z-1δ(z)) | z ε A is invertible} < ∞, where r(a) denotes the spectral radius of a ε A.

原文English
頁(從 - 到)1427-1435
頁數9
期刊Proceedings of the American Mathematical Society
133
發行號5
DOIs
出版狀態Published - 2005 五月

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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