More elementary operators that are spectrally bounded

Nadia Boudi, Martin Mathieu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We discuss some necessary and some sufficient conditions for an elementary operator x↦∑ni=1aixbi on a Banach algebra A to be spectrally bounded. In the case of length three, we obtain a complete characterisation when A acts irreducibly on a Banach space of dimension greater than three.

Original languageEnglish
Pages (from-to)471-489
Number of pages19
JournalJournal of Mathematical Analysis and its Applications
Issue number1
Early online date17 Mar 2015
Publication statusPublished - 01 Aug 2015


  • Elementary operator
  • Quasi-nilpotent
  • Spectrally bounded

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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