More elementary operators that are spectrally bounded


Autoria(s): Boudi, Nadia; Mathieu, Martin
Data(s)

01/08/2015

Resumo

<p>We discuss some necessary and some sufficient conditions for an elementary operator x↦∑<sup>n</sup><sub>i=1</sub>a<sub>i</sub>xb<sub>i</sub> 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.</p>

Identificador

http://pure.qub.ac.uk/portal/en/publications/more-elementary-operators-that-are-spectrally-bounded(99334b13-d593-400b-8e0d-285bc130e464).html

http://dx.doi.org/10.1016/j.jmaa.2015.03.012

http://www.scopus.com/inward/record.url?scp=84934441591&partnerID=8YFLogxK

Idioma(s)

eng

Direitos

info:eu-repo/semantics/closedAccess

Fonte

Boudi , N & Mathieu , M 2015 , ' More elementary operators that are spectrally bounded ' Journal of Mathematical Analysis and its Applications , vol 428 , no. 1 , pp. 471-489 . DOI: 10.1016/j.jmaa.2015.03.012

Palavras-Chave #Elementary operator #Quasi-nilpotent #Spectrally bounded #/dk/atira/pure/subjectarea/asjc/2600/2603 #Analysis #/dk/atira/pure/subjectarea/asjc/2600/2604 #Applied Mathematics
Tipo

article