Geodesic
Thompson isometries on positive operators: the 2-dimensional case
The electronic journal of linear algebra, Tome 20 (2010), pp. 79-89.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, a former result of the first author is completed. The structure is determined of all surjective isometries of the space of invertible positive operators on the 2-dimensional Hilbert space equipped with the Thompson metric or the Hilbert projective metric.
Classification : 46B28, 47B49
Keywords: thompson metric, Hilbert projective metric, isometry, invertible positive operators 
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     title = {Thompson isometries on positive operators: the 2-dimensional case},
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Molnar, Lajos; Nagy, Gergo. Thompson isometries on positive operators: the 2-dimensional case. The electronic journal of linear algebra, Tome 20 (2010), pp. 79-89. http://geodesic.mathdoc.fr/item/ELA_2010__20__a49/