Thompson isometries of the space of invertible positive operators
L Molnár - Proceedings of the American Mathematical Society, 2009 - ams.org
Proceedings of the American Mathematical Society, 2009•ams.org
… In this paper we consider the Thompson metric and the Hilbert projective metric on the set of
all invertible positive operators acting on a Hilbert space. The general approach to these
distances is as follows. … The aim of this paper is to determine the structure of the bijective
isometries of the set of all invertible positive operators acting on a Hilbert space equipped with
the Thompson metric or the Hilbert projective metric. The study of isometries of spaces of
functions and operators is a rather extensive research area with the most classical results being …
all invertible positive operators acting on a Hilbert space. The general approach to these
distances is as follows. … The aim of this paper is to determine the structure of the bijective
isometries of the set of all invertible positive operators acting on a Hilbert space equipped with
the Thompson metric or the Hilbert projective metric. The study of isometries of spaces of
functions and operators is a rather extensive research area with the most classical results being …
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. References
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