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dc.contributor.author
Lopez Galvan, Alberto Manuel  
dc.date.available
2017-06-28T18:31:25Z  
dc.date.issued
2016-01  
dc.identifier.citation
Lopez Galvan, Alberto Manuel; The Hilbert-Schmidt Lagrangian Grassmannian in infinite dimension; Elsevier Science; Journal Of Geometry And Physics; 99; 1-2016; 174-183  
dc.identifier.issn
0393-0440  
dc.identifier.uri
http://hdl.handle.net/11336/19009  
dc.description.abstract
In this paper we study the action of the symplectic operators which are a perturbation of the identity by a Hilbert-Schmidt operator in the Lagrangian Grassmannian manifold. We prove several geometric properties using the quotient norm in the tangent spaces. We determinate the geodesic curves of this structure and we study the completeness of the corresponding geodesic distance.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Operator Geometry  
dc.subject
Homogeneous Space  
dc.subject
Riemannian Metrics  
dc.subject
Lagrangian Grassmannian  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The Hilbert-Schmidt Lagrangian Grassmannian in infinite dimension  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-06-26T19:51:39Z  
dc.journal.volume
99  
dc.journal.pagination
174-183  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Lopez Galvan, Alberto Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de General Sarmiento; Argentina  
dc.journal.title
Journal Of Geometry And Physics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0393044015002429  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.geomphys.2015.10.005