Generalized inverses and similarity to partial isometries |
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| Authors: | Mostafa Mbekhta Laurian Suciu |
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| Affiliation: | a Université Lille 1, UFR de Mathématiques, 59655 Villeneuve d'Ascq, France
b Department of Mathematics, “Lucian Blaga” University of Sibiu, Romania |
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| Abstract: | We obtain some results related to the problems of Badea and Mbekhta (2005) [1] concerning the similarity to partial isometries using the generalized inverses. Especially, we involve the Moore-Penrose inverses. Also a characterization for such a similarity is given in the terms of dilations similar to unitary operators, which leads to a new criterion for the similarity to an isometry and to a quasinormal partial isometry. |
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| Keywords: | Moore-Penrose inverse Partial isometry Unitary dilation Similarity Duggal transform Aluthge transform |
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