Mostrar el registro sencillo del ítem
dc.contributor.author
Andruchow, Esteban
dc.date.available
2020-05-14T20:09:42Z
dc.date.issued
2005-09
dc.identifier.citation
Andruchow, Esteban; Short geodesics of unitaries in the L2 metric; Canadian Mathematical Soc; Canadian Mathematical Bulletin-bulletin Canadien de Mathematiques; 48; 3; 9-2005; 340-354
dc.identifier.issn
0008-4395
dc.identifier.uri
http://hdl.handle.net/11336/105166
dc.description.abstract
Let M be a type II_1 von Neumann algebra, τ a trace in M, and l^2 (M,τ) the GNS Hilbert space of τ. We regard the unitary group U_M as a subset of l^2 (M,τ), and characterize the shortest smooth curves of unitaries joining two fixed unitaries, in the L^2 metric. As a consequence of this we obtain that U_M, though a complete (metric) topological group, is not an embedded riemannian submanifold of l^2 (M,τ)
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Canadian Mathematical Soc
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
UNITARY GROUP
dc.subject
SHORT GEODESICS
dc.subject
INFINITE DIMENSIONAL RIEMANNIAN MANIFOLDS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Short geodesics of unitaries in the L2 metric
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-05-11T19:04:18Z
dc.journal.volume
48
dc.journal.number
3
dc.journal.pagination
340-354
dc.journal.pais
Canadá
dc.journal.ciudad
Toronto
dc.description.fil
Fil: Andruchow, Esteban. 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 Calderón; Argentina
dc.journal.title
Canadian Mathematical Bulletin-bulletin Canadien de Mathematiques
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.4153/CMB-2005-032-0
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/short-geodesics-of-unitaries-in-the-l-2-metric/2212CACF3B2E3C2024CD2C3C2A390833
Archivos asociados