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dc.contributor.authorBresar, M.
dc.contributor.authorCastillo Godoy, María Luisa 
dc.contributor.authorVillena Muñoz, Armando Reyes 
dc.date.accessioned2022-09-14T11:45:24Z
dc.date.available2022-09-14T11:45:24Z
dc.date.issued2021-12-16
dc.identifier.citationPublished version: M. Brešar, M.L.C. Godoy, A.R. Villena, Maps preserving two-sided zero products on Banach algebras, Journal of Mathematical Analysis and Applications, Volume 515, Issue 1, 2022, 126372, ISSN 0022-247X, [https://doi.org/10.1016/j.jmaa.2022.126372]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/76695
dc.description.abstractLet A and B be Banach algebras with bounded approximate identities and let F: A→B be a surjective continuous linear map which preserves twosided zero products (i.e., F(a)F(b) = F(b)F(a) = 0 whenever ab = ba = 0). We show that F is a weighted Jordan homomorphism provided that A is zero product determined and weakly amenable. These conditions are in particular fulfilled when A is the group algebra L1(G) with G any locally compact group. We also study a more general type of continuous linear maps F : A → B that satisfy F(a)F(b)+F(b)F(a) = 0 whenever ab = ba = 0. We show in particular that if F is surjective and A is a C∗-algebra, then F is a weighted Jordan homomorphism.es_ES
dc.description.sponsorshipSlovenian Research Agency - Slovenia P1-0288es_ES
dc.description.sponsorshipMCIU/AEI/FEDER Grant PGC2018-093794-B-I00es_ES
dc.description.sponsorshipJunta de Andalucia FQM-185 P20_00255 MIU FPU18/00419 EST19/00466es_ES
dc.description.sponsorshipProyectos I+D+i del programa operativo FEDER-Andalucia Grant A-FQM-484-UGR18es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectZero product determined Banach algebraes_ES
dc.subjectWeakly amenable Banach algebraes_ES
dc.subjectGroup algebra of a locally compact groupes_ES
dc.subjectC∗-algebraes_ES
dc.subjectAlgebra of approximable operatorses_ES
dc.subjectWeighted Jordan homomorphismes_ES
dc.subjectTwo-sided zero productses_ES
dc.subjectLinear preserveres_ES
dc.titleMaps preserving two-sided zero products on Banach algebrases_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersiones_ES


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