On Taylor and other joint spectra for commuting n-tuples of operators |
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| Authors: | C Benhida EH Zerouali |
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| Institution: | a Université de Lille 1, UFR de Mathématiques - CNRS-UMR 8524, Bât M2, 59655 Villeuneuve cedex, France
b Faculté des Sciences de Rabat, BP 1014 Rabat, Morocco |
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| Abstract: | Let R and S be commuting n-tuples of operators. We will give some spectral relations between RS and SR that extend the case of single operators. We connect the Taylor spectrum, the Fredholm spectrum and some other joint spectra of RS and SR. Applications to Aluthge transforms of commuting n-tuples are also provided. |
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| Keywords: | n-Tuples Taylor spectrum Joint spectra Aluthge transforms |
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