Isometries of the unitary group
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- by Osamu Hatori and Lajos Molnár PDF
- Proc. Amer. Math. Soc. 140 (2012), 2127-2140 Request permission
Abstract:
In this paper we describe all surjective isometries of the unitary group of a complex Hilbert space. A result on Thompson isometries of the space of all invertible positive elements of a unital $C^*$-algebra is also presented.References
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Additional Information
- Osamu Hatori
- Affiliation: Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, Japan
- MR Author ID: 199931
- Email: hatori@math.sc.niigata-u.ac.jp
- Lajos Molnár
- Affiliation: Institute of Mathematics, University of Debrecen, P.O. Box 12, H-4010 Debrecen, Hungary
- Email: molnarl@science.unideb.hu
- Received by editor(s): February 12, 2011
- Published electronically: October 21, 2011
- Additional Notes: The first author was partly supported by the Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science.
The second author was supported by the Alexander von Humboldt Foundation (Germany), by the Hungarian Scientific Research Fund (OTKA) K81166 NK81402, and by the TÁMOP 4.2.1./B-09/1/KONV-2010-0007 project implemented through the New Hungary Development Plan co-financed by the European Social Fund and the European Regional Development Fund. - Communicated by: Richard Rochberg
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 2127-2140
- MSC (2010): Primary 47B49
- DOI: https://doi.org/10.1090/S0002-9939-2011-11216-4
- MathSciNet review: 2888199