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dc.contributor.author
Argerami, Martin
dc.contributor.author
Massey, Pedro Gustavo
dc.date.available
2017-07-04T15:41:19Z
dc.date.issued
2008-02
dc.identifier.citation
Argerami, Martin; Massey, Pedro Gustavo; The local form of doubly stochastic maps and joint majorization in II1 factors; Springer; Integral Equations and Operator Theory; 61; 1; 2-2008; 1-19
dc.identifier.issn
0378-620X
dc.identifier.uri
http://hdl.handle.net/11336/19465
dc.description.abstract
We find a description of the restriction of doubly stochastic maps to separable abelian C ∗ -subalgebras of a II1 factor M. We use this local form of doubly stochastic maps to develop a notion of joint majorization between ntuples of mutually commuting self-adjoint operators that extends those of Kamei (for single self-adjoint operators) and Hiai (for single normal operators) in the II1 factor case. Several characterizations of this joint majorization are obtained. As a byproduct we prove that any separable abelian C ∗ -subalgebra of M can be embedded into a separable abelian C ∗ -subalgebra of M with diffuse spectral measure.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Joint Majorization
dc.subject
Doubly Stochastic Map
dc.subject
Convex Hull
dc.subject
Unitary Orbit
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
The local form of doubly stochastic maps and joint majorization in II1 factors
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-07-03T16:50:19Z
dc.journal.volume
61
dc.journal.number
1
dc.journal.pagination
1-19
dc.journal.pais
Suiza
dc.journal.ciudad
Basilea
dc.description.fil
Fil: Argerami, Martin. University of Regina; Canadá
dc.description.fil
Fil: Massey, Pedro Gustavo. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina
dc.journal.title
Integral Equations and Operator Theory
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00020-008-1569-6
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00020-008-1569-6
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