The manifold of finite rank projections in the space L(H)

Simple item page
dc.creatorIsidro, José M.
dc.date2000-02-08
dc.date.accessioned2026-07-07T04:33:38Z
dc.date.available2026-07-07T04:33:38Z
dc.descriptionGiven a complex Hilbert space H and the von Neumann algebra L(H) of all bounded linear operators on H, we study the Grassmann manifold M of all projections in L(H) that have a fixed finite rank r. We take the Jordan-Banach triple theory approach which allows us to define a natural Levi-Civita connection on M. We identify the geodesics, compute the Riemann distance and prove some properties of M
dc.descriptionA 10 pages long AMSTeX file
dc.identifierhttps://arxiv.org/abs/math/0002055
dc.identifierhttp://arxiv.org/abs/math/0002055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58649
dc.subjectFunctional Analysis
dc.subjectDifferential Geometry
dc.subject17C99 (Primary) 53C35 (Secondary)
dc.titleThe manifold of finite rank projections in the space L(H)
dc.typetext

Files

Collections

arXiv