INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
Nonpositive Curvature in p-Schatten class
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Lugar: Amsterdam; Año: 2009 vol. 356 p. 664 - 664
We study the geometry of the set Delta_p, with p>1 and finite, which consists of perturbations of the identity operator by p-Schatten class operators, which are positive and invertible as elements of B(H). These manifolds have natural and invariant Finsler structures. In a previous work, we introduced the metric d_p and exposed several results about this metric space. The aim of this work is to prove that the space (Delta_p,d_p) behaves in many senses like a nonpositive curvature metric space.