Generalization of the Hilbert metric to the space of positive definite matrices

Carlangelo Liverani and Maciej Wojtkowski

Vol. 166 (1994), No. 2, 339–355

DOI: 10.2140/pjm.1994.166.339

Abstract

We introduce a generalization of the Hilbert projective metric to the space of positive definite matrices which we view as part of the Lagrangian Grassmannian.

Mathematical Subject Classification 2000

Primary: 53C60

Secondary: 15A48

Milestones

Received: 8 May 1992

Revised: 21 August 1992

Accepted: 7 September 1992

Published: 1 December 1994