Spectral properties of commuting operations for $n$-tuples
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- by C. Benhida and E. H. Zerouali
- Proc. Amer. Math. Soc. 139 (2011), 4331-4342
- DOI: https://doi.org/10.1090/S0002-9939-2011-10875-X
- Published electronically: April 11, 2011
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Abstract:
Let $\textbf {R}$ and $\mathbf { S}$ be commuting $n$-tuples. We give some spectral and local spectral relations between $\mathbf { RS}$ and $\mathbf { SR}$. In particular, we show that $\mathbf { RS}$ has the single valued extension property or satisfies Bishop’s property $(\beta )$ if and only if $\mathbf { SR}$ has the corresponding property.References
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Bibliographic Information
- C. Benhida
- Affiliation: UFR de Mathématiques - CNRS-UMR 8524, Université de Lille 1, Bât M2, 59655 Villeuneuve cedex, France
- Email: benhida@math.univ-lille1.fr
- E. H. Zerouali
- Affiliation: Faculté des Sciences de Rabat, Université Mohammed V, BP 1014, Rabat, Morocco
- Email: zerouali@fsr.ac.ma
- Received by editor(s): February 16, 2009
- Received by editor(s) in revised form: January 31, 2010, and October 6, 2010
- Published electronically: April 11, 2011
- Communicated by: Marius Junge
- © Copyright 2011 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 139 (2011), 4331-4342
- MSC (2010): Primary 47B20
- DOI: https://doi.org/10.1090/S0002-9939-2011-10875-X
- MathSciNet review: 2823078