Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Thompson isometries of the space of invertible positive operators

Author: Lajos Molnár
Journal: Proc. Amer. Math. Soc. 137 (2009), 3849-3859
MSC (2000): Primary 46B28, 47B49
Published electronically: June 15, 2009
MathSciNet review: 2529894
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Abstract: We determine the structure of bijective isometries of the set of all invertible positive operators on a Hilbert space equipped with the Thompson metric or the Hilbert projective metric.

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Lajos Molnár
Affiliation: Institute of Mathematics, University of Debrecen, P.O. Box 12, H-4010 Debrecen, Hungary

Received by editor(s): December 22, 2008
Received by editor(s) in revised form: March 3, 2009, and March 7, 2009
Published electronically: June 15, 2009
Additional Notes: The author was supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. NK68040.
Communicated by: Nigel J. Kalton
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.