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dc.contributor.author
Larotonda, Gabriel Andrés
dc.date.available
2020-06-24T20:49:45Z
dc.date.issued
2019-07
dc.identifier.citation
Larotonda, Gabriel Andrés; The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras; Theta Foundation; Journal Of Operator Theory; 81; 1; 7-2019; 157-173
dc.identifier.issn
0379-4024
dc.identifier.uri
http://hdl.handle.net/11336/108155
dc.description.abstract
For a semi-finite von Neumann algebra A, we study the case of equality in Young´s inequality of s-numbers for a pair of τ-measurable operators a,b, and we prove that equality is only possible if |a|^p=|b|^q. We also extend the result to unbounded operators affiliated with A, and relate this problem with other symmetric norm Young inequalities.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Theta Foundation
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
MEASURABLE OPERATOR
dc.subject
TAU-COMPACT OPERATOR
dc.subject
τ-COMPACT OPERATOR
dc.subject
SEMI-FINITE VON NEUMANN ALGEBRA
dc.subject
YOUNG´S INEQUALITY
dc.subject
S-NUMBERS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-05-27T16:34:36Z
dc.journal.volume
81
dc.journal.number
1
dc.journal.pagination
157-173
dc.journal.pais
Rumania
dc.journal.ciudad
Bucarest
dc.description.fil
Fil: Larotonda, Gabriel Andrés. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
dc.journal.title
Journal Of Operator Theory
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.theta.ro/jot/archive/2019-081-001/index_2019-081-001.html
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1706.07115
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