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Local Spectral Theory of Linear Operators RS and SR

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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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Authors and Affiliations

  1. UFR de Mathématiques CNRS-UMR 8524, Bât M2, Université de Lille 1, 59655, Villeuneuve cedex, France

    C. Benhida

  2. Faculté des Sciences de Rabat, BP 1014, Rabat, Morocco

    E. H. Zerouali

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  1. C. Benhida
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  2. E. H. Zerouali
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Correspondence to C. Benhida.

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Benhida, C., Zerouali, E.H. Local Spectral Theory of Linear Operators RS and SR . Integr. equ. oper. theory 54, 1–8 (2006). https://doi.org/10.1007/s00020-005-1375-3

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  • DOI: https://doi.org/10.1007/s00020-005-1375-3

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