Local Spectral Theory of Linear Operators RS and SR |
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| Authors: | C. Benhida E. H. Zerouali |
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| Affiliation: | (1) UFR de Mathématiques CNRS-UMR 8524, Bat M2, Université de Lille 1, 59655 Villeuneuve cedex, France;(2) Faculté des Sciences de Rabat, BP 1014, Rabat, Morocco |
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| Abstract: | In this paper, we study the relation between local spectral properties of the linear operators RS and SR. We show that RS and SR share the same local spectral properties SVEP, (β), (δ) and decomposability. We also show that RS is subscalar if and only if SR is subscalar. We recapture some known results on spectral properties of Aluthge transforms. |
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| Keywords: | Primary 47A11 Secondary 47A53 |
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