Local Spectral Theory for Operators R and S Satisfying RSR = R2
We study some local spectral properties for bounded operators R, S, RS and SR in the case that R and S satisfy the operator equation RSR = R2. Among other results, we prove that S, R, SR and RS share Dunford’s property (C) when RSR = R2 and SRS = S2.
Main Authors: | Pietro Aiena, Manuel González |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Extremadura
2016-06-01
|
Series: | Extracta Mathematicae |
Subjects: | |
Online Access: | https://publicaciones.unex.es/index.php/EM/article/view/401 |
Similar Items
-
Local Spectral Theory for <i>R</i> and <i>S</i> Satisfying <i>R<sup>n</sup>SR<sup>n</sup></i> = <i>R<sup>j</sup></i>
by: Salvatore Triolo
Published: (2020-10-01) -
Spaces of Compact Operators
by: Ghenciu, Ioana
Published: (2004) -
Applications of Entire Function Theory to the Spectral Synthesis of Diagonal Operators
by: Overmoyer, Kate
Published: (2011) -
Propriedade Dunford-Pettis alternativa
by: Veronica Leão Neves
Published: (2015) -
Propriedade Dunford-Pettis alternativa
by: Neves, Veronica Leão
Published: (2015)