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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Extremadura
2016-06-01
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| Series: | Extracta Mathematicae |
| Subjects: | |
| Online Access: | https://publicaciones.unex.es/index.php/EM/article/view/401 |