Spectrally bounded φ-derivations on Banach algebras

Tsiu Kwen Lee, Cheng Kai Liu

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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))

Original languageEnglish
Pages (from-to)1427-1435
Number of pages9
JournalProceedings of the American Mathematical Society
Volume133
Issue number5
DOIs
Publication statusPublished - 2005 May 1

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Density Theorem
Unital
Banach algebra
Algebra
If and only if

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Spectrally bounded φ-derivations on Banach algebras. / Lee, Tsiu Kwen; Liu, Cheng Kai.

In: Proceedings of the American Mathematical Society, Vol. 133, No. 5, 01.05.2005, p. 1427-1435.

Research output: Contribution to journalArticle

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