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Partial isometries: Factorization and connected components

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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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Authors and Affiliations

  1. UFR de Mathématiques, Université de Lille I, F-59655, Villeneuve d'Ascq, France

    Mostafa Mbekhta

  2. Département de mathématiques et de statistique, Université Laval, G1K 7P4, Québec, Québec, Canada

    Haikel Skhiri

Authors
  1. Mostafa Mbekhta
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  2. Haikel Skhiri
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Mbekhta, M., Skhiri, H. Partial isometries: Factorization and connected components. Integr equ oper theory 38, 334–349 (2000). https://doi.org/10.1007/BF01291718

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