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Stability of derivations under weak-2-local continuous perturbations

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Stability of derivations under weak-2-local continuous perturbations

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dc.contributor.author Jorda Mora, Enrique es_ES
dc.contributor.author Peralta, Antonio M. es_ES
dc.date.accessioned 2018-06-01T04:27:11Z
dc.date.available 2018-06-01T04:27:11Z
dc.date.issued 2017 es_ES
dc.identifier.issn 0001-9054 es_ES
dc.identifier.uri http://hdl.handle.net/10251/103148
dc.description.abstract [EN] Let ¿ be a compact Hausdorff space and let A be a C¿ -algebra. We prove that if every weak-2-local derivation on A is a linear derivation and every derivation on C(¿, A) is inner, then every weak-2-local derivation ¿ : C(¿, A) ¿ C(¿, A) is a (linear) derivation. As a consequence we derive that, for every complex Hilbert space H, every weak-2-local derivation ¿ : C(¿, B(H)) ¿ C(¿, B(H)) is a (linear) derivation. We actually show that the same conclusion remains true when B(H) is replaced with an atomic von Neumann algebra. With a modified technique we prove that, if B denotes a compact C¿ -algebra (in particular, when B = K(H)), then every weak-2-local derivation on C(¿, B) is a (linear) derivation. Among the consequences, we show that for each von Neumann algebra M and every compact Hausdorff space ¿, every 2-local derivation on C(¿, M) is a (linear) derivation. es_ES
dc.description.sponsorship E. Jorda is partially supported by the Spanish Ministry of Economy and Competitiveness Project MTM2013-43540-P and Generalitat Valenciana Grant AICO/2016/054. A. M. Peralta is partially supported by the Spanish Ministry of Economy and Competitiveness and European Regional Development Fund Project No. MTM2014-58984-P and Junta de Andalucia Grant FQM375. en_EN
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Aequationes Mathematicae es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Derivation es_ES
dc.subject 2-local linear map es_ES
dc.subject 2-local symmetric map es_ES
dc.subject 2-local *-derivation es_ES
dc.subject 2-local derivation es_ES
dc.subject Weak-2-local derivation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Stability of derivations under weak-2-local continuous perturbations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00010-016-0438-7 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/
dc.relation.projectID info:eu-repo/grantAgreement/GVA//AICO%2F2016%2F054/
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2014-58984-P/ES/TECNICAS DE ANALISIS FUNCIONAL EN EL ESTUDIO DE LA GEOMETRIA DE LAS C*-ALGEBRAS Y LAS ESTRUCTURAS DE JORDAN/
dc.relation.projectID info:eu-repo/grantAgreement/Junta de Andalucía//FQM-375/ES/ANÁLISIS FUNCIONAL: C*-ÁLGEBRAS Y TEORÍA DE OPERADORES/
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Jorda Mora, E.; Peralta, AM. (2017). Stability of derivations under weak-2-local continuous perturbations. Aequationes Mathematicae. 91(1):99-114. https://doi.org/10.1007/s00010-016-0438-7 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00010-016-0438-7 es_ES
dc.description.upvformatpinicio 99 es_ES
dc.description.upvformatpfin 114 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 91 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\324909 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad
dc.contributor.funder Generalitat Valenciana
dc.contributor.funder European Regional Development Fund
dc.contributor.funder Junta de Andalucía
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