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Inner Derivations and Weak-2-Local Derivations on the C*-Algebra C-0(L, A)

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Inner Derivations and Weak-2-Local Derivations on the C*-Algebra C-0(L, A)

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dc.contributor.author Jorda Mora, Enrique es_ES
dc.contributor.author Peralta, A.M. es_ES
dc.date.accessioned 2020-07-16T03:31:39Z
dc.date.available 2020-07-16T03:31:39Z
dc.date.issued 2017-09 es_ES
dc.identifier.issn 0378-620X es_ES
dc.identifier.uri http://hdl.handle.net/10251/148095
dc.description.abstract [EN] Let L be a locally compact Hausdorff space. Suppose A is a -algebra with the property that every weak-2-local derivation on A is a (linear) derivation. We prove that every weak-2-local derivation on is a (linear) derivation. Among the consequences we establish that if B is an atomic von Neumann algebra or a compact -algebra, then every weak-2-local derivation on is a linear derivation. We further show that, for a general von Neumann algebra M, every 2-local derivation on is a linear derivation. We also prove several results representing derivations on and on as inner derivations determined by multipliers. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Integral Equations and Operator Theory 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 *-derivation es_ES
dc.subject 2-Local derivation es_ES
dc.subject Weak-2-local mapping es_ES
dc.subject Weak-2-local derivation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Inner Derivations and Weak-2-Local Derivations on the C*-Algebra C-0(L, A) es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00020-017-2390-x es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//ACOMP%2F2015%2F186/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//AICO%2F2016%2F054/ es_ES
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, A. (2017). Inner Derivations and Weak-2-Local Derivations on the C*-Algebra C-0(L, A). Integral Equations and Operator Theory. 89(1):89-110. https://doi.org/10.1007/s00020-017-2390-x es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00020-017-2390-x es_ES
dc.description.upvformatpinicio 89 es_ES
dc.description.upvformatpfin 110 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 89 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\376178 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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