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dc.contributor.author
Conde, Cristian Marcelo  
dc.date.available
2017-07-04T17:55:27Z  
dc.date.issued
2009-03-17  
dc.identifier.citation
Conde, Cristian Marcelo; Nonpositive Curvature in p-Schatten class; Elsevier; Journal Of Mathematical Analysis And Applications; 356; 2; 17-3-2009; 664-673  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/19479  
dc.description.abstract
We study the geometry of the set p, with 1 < p < ∞, which consists of perturbations of the identity operator by p-Schatten class operators, which are positive and invertible as elements of B(H). These manifolds have natural and invariant Finsler structures. In [C. Conde, Geometric interpolation in p-Schatten class, J. Math. Anal. Appl. 340 (2008) 920– 931], we introduced the metric dp and exposed several results about this metric space. The aim of this work is to prove that the space (p,dp) behaves in many senses like a nonpositive curvature metric space.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Nonpositive Curvature in p-Schatten class  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-07-03T16:50:32Z  
dc.journal.volume
356  
dc.journal.number
2  
dc.journal.pagination
664-673  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina  
dc.journal.title
Journal Of Mathematical Analysis And Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022247X09002315  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2009.03.036  

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