Unitary orbits in a full matrix algebra

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dc.creatorLarotonda, Gabriel
dc.date2008-08-07
dc.date.accessioned2026-07-07T09:55:20Z
dc.date.available2026-07-07T09:55:20Z
dc.descriptionThe 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 studied from the topological and metric viewpoints: we seek for conditions that ensure the existence of a smooth local structure for the set $Ω$, and we study the convexity of this set for the geodesic structures that arise when we give $Σ$ two Riemannian metrics.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0808.0955
dc.identifierhttp://arxiv.org/abs/0808.0955
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166591
dc.subjectDifferential Geometry
dc.subjectOperator Algebras
dc.subject58B20; 53C22; 53C30.
dc.titleUnitary orbits in a full matrix algebra
dc.typetext

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