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dc.contributor.author
Massey, Pedro Gustavo
dc.contributor.author
Ravichandran, Mohan
dc.date.available
2017-06-28T14:52:19Z
dc.date.issued
2016-02
dc.identifier.citation
Massey, Pedro Gustavo; Ravichandran, Mohan; Multivariable Schur-Horn theorems; London Mathematical Society; Proceedings Of The London Mathematical Society; 112; 1; 2-2016; 206-234
dc.identifier.issn
0024-6115
dc.identifier.uri
http://hdl.handle.net/11336/18992
dc.description.abstract
We prove a variety of results describing the diagonals of tuples of commuting hermitian operators in type II 1 1 factors. These results, motivated by work of Arveson and Kadison, are generalizations of the classical Schur-Horn theorem to the infinite-dimensional, multivariable setting. Our description of these possible diagonals uses a natural generalization of the classical notion of majorization. In the special case when both the given tuple and the desired diagonal have finite joint spectrum, our results are complete. When the tuples do not have finite joint spectrum, we are able to prove strong approximate results. Unlike the single variable case, the multivariable case presents several surprises and we point out obstructions to extending our complete description in the finite spectrum case to the general case. We also discuss the problem of characterizing diagonals of commuting tuples in B ( H ) B(H) and give approximate characterizations in this case as well.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
London Mathematical Society
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
Schur-Horn Theorem
dc.subject
Ii_1 Factors
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Multivariable Schur-Horn theorems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-26T19:51:22Z
dc.journal.volume
112
dc.journal.number
1
dc.journal.pagination
206-234
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
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.description.fil
Fil: Ravichandran, Mohan. Mimar Sinan Fine Arts University; Turquía
dc.journal.title
Proceedings Of The London Mathematical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1112/plms/pdv067/full
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1112/plms/pdv067
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