8 citations · 25 across the 29 of their papers we have counts for
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The rectifiable distance in the unitary Fredholm group
Esteban Andruchow, Gabriel Larotonda
Let stand for the unitary Fredholm group. We prove the following convexity result. Denote by the rectifiable distance induc…
Manifolds of semi-negative curvature
Cristian Conde, Gabriel Larotonda
The notion of nonpositive curvature in Alexandrov's sense is extended to include p-uniformly convex Banach spaces. Infinite dimensional manifolds of semi-negative curvature with a…
Weak Riemannian manifolds from finite index subfactors
Esteban Andruchow, Gabriel Larotonda
Let be a finite Jones' index inclusion of II factors, and denote by their unitary groups. In this paper we study the homogeneous space ,…
Hopf-Rinow Theorem in the Sato Grassmannian
Esteban Andruchow, Gabriel Larotonda
Let be the Banach-Lie group of unitary operators in the Hilbert space which are Hilbert-Schmidt perturbations of the identity 1. In this paper we study t…
A Geometrical Approach to Hilbert-Schmidt Operators
Gabriel Larotonda
We give a Riemannian structure to the set of positive invertible unitized Hilbert-Schmidt operators, by means of the trace inner product. This metric makes of a nonpositive…
Norm Inequalities in Operator Ideals
Gabriel Larotonda
In this paper we introduce a new technique for proving norm inequalities in operator ideals with an unitarily invariant norm. Among the well known inequalities which can be proved…