Symplectic leaves in real Banach Lie-Poisson spaces

Simple item page
dc.creatorBeltiţă, Daniel
dc.creatorRatiu, Tudor S.
dc.date2004-03-22
dc.date2005-03-31
dc.date.accessioned2026-07-07T05:06:36Z
dc.date.available2026-07-07T05:06:36Z
dc.descriptionWe present several large classes of real Banach Lie-Poisson spaces whose characteristic distributions are integrable, the integral manifolds being symplectic leaves just as in finite dimensions. We also investigate when these leaves are embedded submanifolds or when they have Kähler structures. Our results apply to the real Banach Lie-Poisson spaces provided by the self-adjoint parts of preduals of arbitrary $W^*$-algebras, as well as of certain operator ideals.
dc.description24 pages; new examples added; to appear in Geom. Funct. Anal
dc.identifierhttps://arxiv.org/abs/math/0403345
dc.identifierhttp://arxiv.org/abs/math/0403345
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70529
dc.subjectSymplectic Geometry
dc.subjectOperator Algebras
dc.subject53D17; 22E65; 58B12; 46L30; 47L20
dc.titleSymplectic leaves in real Banach Lie-Poisson spaces
dc.typetext

Files

Collections

arXiv