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dc.contributor.author
Andruchow, Esteban
dc.date.available
2017-06-26T21:03:23Z
dc.date.issued
2014-11
dc.identifier.citation
Andruchow, Esteban; A note on a question by T. Ando; University of Szeged. Bolyai Institute; Acta Scientiarum Mathematicarum (szeged); 80; 3-4; 11-2014; 651-658
dc.identifier.issn
0001-6969
dc.identifier.uri
http://hdl.handle.net/11336/18941
dc.description.abstract
In 1979 T. Ando posed the following question: suppose E and F are two projectionvalued measures defined on an algebra Σ of subsets of Ω, which verifykE(∆) − F(∆)k ≤ 1 − δ, ∆ ∈ Σ,for some δ > 0. Does there exist a unitary operator u such that u∗E(∆)u = F(∆) for all∆ ∈ Σ? He knew that the answer was affirmative if both measures were strongly σ-additiveand maximal (i.e. E and F have ciclic vectors). In this note, we show that the answer isalso affirmative if both measures take values in a common finite von Neumann algebra.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
University of Szeged. Bolyai Institute
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Spectral Measure
dc.subject
Unitary Equivalence
dc.subject
Finite Algebra
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A note on a question by T. Ando
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-26T19:51:14Z
dc.journal.volume
80
dc.journal.number
3-4
dc.journal.pagination
651-658
dc.journal.pais
Hungría
dc.journal.ciudad
Szeged
dc.description.fil
Fil: Andruchow, Esteban. 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
Acta Scientiarum Mathematicarum (szeged)
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://pub.acta.hu/acta/showCustomerArticle.action?id=38878&dataObjectType=article&returnAction=showCustomerVolume&sessionDataSetId=400e733b855873aa&style=
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