Thompson isometries of the space of invertible positive operators

Molnár, Lajos

doi:10.1090/S0002-9939-09-09963-8

Thompson isometries of the space of invertible positive operators
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Proc. Amer. Math. Soc. 137 (2009), 3849-3859 Request permission

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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