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Thompson isometries of the space of invertible positive operators
Author(s):
Lajos
Molnár
Journal:
Proc. Amer. Math. Soc.
137
(2009),
3849-3859.
MSC (2000):
Primary 46B28, 47B49
Posted:
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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Additional Information:
Lajos
Molnár
Affiliation:
Institute of Mathematics, University of Debrecen, P.O. Box 12, H-4010 Debrecen, Hungary
Email:
molnarl@math.klte.hu
DOI:
10.1090/S0002-9939-09-09963-8
PII:
S 0002-9939(09)09963-8
Received by editor(s):
December 22, 2008,
Received by editor(s) in revised form:
March 3, 2009, and March 7, 2009
Posted:
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
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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