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.
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| Language: | English |
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University of Extremadura
2016-06-01
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| Series: | Extracta Mathematicae |
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| Online Access: | https://publicaciones.unex.es/index.php/EM/article/view/401 |
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doaj-a6eaaa3d2df34c80b39e7d2e1b9954832021-02-02T17:22:38ZengUniversity of ExtremaduraExtracta Mathematicae0213-87432605-56862016-06-01311Local Spectral Theory for Operators R and S Satisfying RSR = R2Pietro Aiena0Manuel González1Dipartimento di Metodi e Modelli Matematici, Facoltà di Ingegneria, Università di Palermo (Italia), Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cantabria, E-39071 Santander (Spain), 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. https://publicaciones.unex.es/index.php/EM/article/view/401Local spectral subspaceDunford’s property (C)operator equation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Pietro Aiena Manuel González |
| spellingShingle |
Pietro Aiena Manuel González Local Spectral Theory for Operators R and S Satisfying RSR = R2 Extracta Mathematicae Local spectral subspace Dunford’s property (C) operator equation |
| author_facet |
Pietro Aiena Manuel González |
| author_sort |
Pietro Aiena |
| title |
Local Spectral Theory for Operators R and S Satisfying RSR = R2 |
| title_short |
Local Spectral Theory for Operators R and S Satisfying RSR = R2 |
| title_full |
Local Spectral Theory for Operators R and S Satisfying RSR = R2 |
| title_fullStr |
Local Spectral Theory for Operators R and S Satisfying RSR = R2 |
| title_full_unstemmed |
Local Spectral Theory for Operators R and S Satisfying RSR = R2 |
| title_sort |
local spectral theory for operators r and s satisfying rsr = r2 |
| publisher |
University of Extremadura |
| series |
Extracta Mathematicae |
| issn |
0213-8743 2605-5686 |
| publishDate |
2016-06-01 |
| description |
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.
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| topic |
Local spectral subspace Dunford’s property (C) operator equation |
| url |
https://publicaciones.unex.es/index.php/EM/article/view/401 |
| work_keys_str_mv |
AT pietroaiena localspectraltheoryforoperatorsrandssatisfyingrsrr2 AT manuelgonzalez localspectraltheoryforoperatorsrandssatisfyingrsrr2 |
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1724292598966779904 |