Partial isometries: Factorization and connected components |
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| Authors: | Mostafa Mbekhta Haikel Skhiri |
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| Affiliation: | (1) UFR de Mathématiques, Université de Lille I, F-59655 Villeneuve d'Ascq, France;(2) Département de mathématiques et de statistique, Université Laval, G1K 7P4 Québec, Québec, Canada |
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| Abstract: | In this paper we compute the distance between the connected components of the sets of all partial isometries and essential partial isometries. Some factorization results are also proved. This complements previous results due to P.R. Halmos and J.E. McLaughlin |
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| Keywords: | 47A53 47A68 and 46B04 |
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