Elementary operators that are spectrally bounded

Nadia Boudi, Martin Mathieu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

We study spectrally bounded elementary operators of length two on a complex unital Banach algebra A. Some related conditions are investigated as well. In particular, we show that if S is an elementary operator of length two such that S(x) is quasi-nilpotent for every x ∈ A, then S(x)3 ∈ radA for every x ∈ A.

Original languageEnglish
Title of host publicationElementary Operators and Their Applications - 3rd International Workshop, 2009
EditorsMartin Mathieu, Raúl E. Curto
PublisherSpringer International Publishing Switzerland
Pages1-15
Number of pages15
ISBN (Print)9783034800365
DOIs
Publication statusPublished - 01 Jan 2011
Event3rd International Workshop on Elementary Operators and Their Applications, 2009 - Belfast, United Kingdom
Duration: 14 Apr 200917 Apr 2009

Publication series

NameOperator Theory: Advances and Applications
Volume212
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Conference

Conference3rd International Workshop on Elementary Operators and Their Applications, 2009
CountryUnited Kingdom
CityBelfast
Period14/04/200917/04/2009

Keywords

  • Banach algebras
  • Elementary operators
  • Finite spectrum
  • Spectrally bounded

ASJC Scopus subject areas

  • Analysis

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