The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras

dc.creatorLarotonda, Gabriel Andrés
dc.date.accessioned2020-06-24T20:49:45Z
dc.date.accessioned2022-10-15T00:35:54Z
dc.date.available2020-06-24T20:49:45Z
dc.date.available2022-10-15T00:35:54Z
dc.date.created2020-06-24T20:49:45Z
dc.date.issued2019-07
dc.identifierLarotonda, 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.identifier0379-4024
dc.identifierhttp://hdl.handle.net/11336/108155
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4325418
dc.description.abstractFor 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.languageeng
dc.publisherTheta Foundation
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.theta.ro/jot/archive/2019-081-001/index_2019-081-001.html
dc.relationinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1706.07115
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMEASURABLE OPERATOR
dc.subjectTAU-COMPACT OPERATOR
dc.subjectτ-COMPACT OPERATOR
dc.subjectSEMI-FINITE VON NEUMANN ALGEBRA
dc.subjectYOUNG´S INEQUALITY
dc.subjectS-NUMBERS
dc.titleThe case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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