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arXiv · 1509.01503

Riemannian metrics in infinite dimensional self-adjoint operator groups

Manuel López Galván
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Abstract

The aim of this paper is the study of the geodesic distance in operator groups with several Riemannian metrics. More precisely we study the geodesic distance in self-adjoint operator groups with the left invariant Riemannian metric induced by the infinite trace and extend known results about the completeness of some classical Banach-Lie groups to this general class.

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Manuel López Galván. 2015-09-04. Riemannian metrics in infinite dimensional self-adjoint operator groups. https://arxiv.org/abs/1509.01503

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