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Generalized isometries of the special unitary group

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Abstract

In this paper we determine the structure of all so-called generalized isometries of the special unitary group which are transformations that respect any member of a large collection of generalized distance measures.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Niigata University, Niigata, 950-2181, Japan

    Osamu Hatori

  2. Department of Analysis, Bolyai Institute, University of Szeged, Aradi vértanúk tere 1., Szeged, 6720, Hungary

    Lajos Molnár

  3. MTA-DE “Lendület” Functional Analysis Research Group, Institute of Mathematics, University of Debrecen, P.O. Box 12, Debrecen, 4010, Hungary

    Lajos Molnár

Authors
  1. Osamu Hatori
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  2. Lajos Molnár
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Correspondence to Lajos Molnár.

Additional information

The main part of this research was done during the second author’s visit to the Department of Mathematics at Niigata University. He is very grateful for the warm hospitality he received from the first author and his colleagues. The second author was supported by the “Lendület” Program (LP2012-46/2012) of the Hungarian Academy of Sciences and by the Hungarian Scientific Research Fund (OTKA) Reg. No. K115383.

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Hatori, O., Molnár, L. Generalized isometries of the special unitary group. Arch. Math. 106, 155–163 (2016). https://doi.org/10.1007/s00013-015-0856-0

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  • DOI: https://doi.org/10.1007/s00013-015-0856-0

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