A note on roots and powers of partial isometries |
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Authors: | H Ezzahraoui M Mbekhta A Salhi E H Zerouali |
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Institution: | 1.Faculty of Sciences,Mohamed V University,Rabat,Morocco;2.UMR-CNRS 8524,Université Lille 1 UFR de Mathématiques,Villeneuve d’Ascq,France |
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Abstract: | Let T be a bounded operator and let \(k \ge 2\) be an integer. We study in this paper the following question: T is a partial isometry implies that \(T^k\) is a partial isometry and conversely. |
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