G. Larotonda

most citedHopf-Rinow Theorem in the Sato Grassmannian

1 citations · 1 across the 8 of their papers we have counts for

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math.DG2008

Weak Riemannian manifolds from finite index subfactors

Esteban Andruchow, Gabriel Larotonda

Let $N \subset M$ be a finite Jones' index inclusion of II $_{1}$ factors, and denote by $U_{N} \subset U_{M}$ their unitary groups. In this paper we study the homogeneous space $U_{M} / U_{N}$ ,…

math.DG2008★ 1 cited

Hopf-Rinow Theorem in the Sato Grassmannian

Esteban Andruchow, Gabriel Larotonda

Let $U_{2} (H)$ be the Banach-Lie group of unitary operators in the Hilbert space $H$ which are Hilbert-Schmidt perturbations of the identity 1. In this paper we study t…

math.DG2008

A Geometrical Approach to Hilbert-Schmidt Operators

Gabriel Larotonda

We give a Riemannian structure to the set $Σ$ of positive invertible unitized Hilbert-Schmidt operators, by means of the trace inner product. This metric makes of $Σ$ a nonpositive…

math.DG2008

Finsler geometry and actions of the p-Schatten unitary groups

Esteban Andruchow, Gabriel Larotonda, Lazaro Recht

Let $p$ be an even positive integer and $U_{p} (H)$ be the Banach-Lie group of unitary operators $u$ which verify that $u - 1$ belongs to the $p$ -Schatten ideal $B_{p} (H)$ . Let $O$ …

math.DG2008

Nonpositively curved metric in the positive cone of a finite von Neumann algebra

Esteban Andruchow, Gabriel Larotonda

In this paper we study the metric geometry of the space $Σ$ of positive invertible elements of a von Neumann algebra $A$ with a finite, normal and faithful tracial state…

math.DG2008

Unitary orbits in a full matrix algebra

Gabriel Larotonda

The Hilbert manifold $Σ$ consisting of positive invertible (unitized) Hilbert-Schmidt operators has a rich structure and geometry. The geometry of unitary orbits $Ω \subset Σ$ is st…