Mostrar el registro sencillo del ítem

dc.contributor.authorAlaminos Prats, Jerónimo 
dc.contributor.authorExtremera Lizana, José 
dc.contributor.authorCastillo Godoy, María Luisa 
dc.contributor.authorVillena Muñoz, Armando Reyes 
dc.date.accessioned2021-10-27T08:33:24Z
dc.date.available2021-10-27T08:33:24Z
dc.date.issued2021-09-06
dc.identifier.citationJ. Alaminos... [et al.]. Strongly zero product determined Banach algebras, Linear Algebra and its Applications, Volume 630, 2021, Pages 326-354, ISSN 0024-3795, [https://doi.org/10.1016/j.laa.2021.09.002]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/71128
dc.descriptionThe authors were supported by MCIU/AEI/FEDER Grant PGC2018-093794-B-I00, Junta de Andalucia grant FQM-185. The first, second and fourth authors were supported by Proyectos I+D+i del programa operativo FEDER-Andalucia Grant A-FQM-484-UGR18. The third named author was also supported by MIU PhD scholarship Grant FPU18/00419. Funding for open access charge: Universidad de Granada/CBUA.es_ES
dc.description.abstractC*-algebras, group algebras, and the algebra A(X) of approximable operators on a Banach space Xhaving the bounded approximation property are known to be zero product determined. In this paper we give a quantitative estimate of this property by showing that, for the Banach algebra A, there exists a constant awith the property that for every continuous bilinear functional phi: A x A -> C there exists a continuous linear functional xi on A such that sup(parallel to a parallel to=parallel to b parallel to=1) vertical bar phi(a, b) - xi(ab)vertical bar <= alpha sup(parallel to a parallel to=parallel to b parallel to=1ab-0), vertical bar phi(a, b)vertical bar in each of the following cases: (i) Ais a C*-algebra, in which case alpha = 8; (ii) A = L-1(G) for a locally compact group G, in which case alpha = 60 root 271+sin pi/10/1-2sin pi/10; (iii) A = A(X) for a Banach space Xhaving property (A)(which is a rather strong approximation property for X), in which case alpha = 60 root 27 1+sin pi/10/1-2sin pi/10 C-2, where C is a constant associated with the property(A) that we require forX.es_ES
dc.description.sponsorshipMCIU/AEI/FEDER Grant PGC2018-093794-B-I00es_ES
dc.description.sponsorshipJunta de Andalucia FQM-185es_ES
dc.description.sponsorshipProyectos I+D+i del programa operativo FEDER-Andalucia Grant A-FQM-484-UGR18es_ES
dc.description.sponsorshipMIU PhD scholarship Grant FPU18/00419es_ES
dc.description.sponsorshipUniversidad de Granada/CBUAes_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectZero product determined Banach algebraes_ES
dc.subjectGroup algebraes_ES
dc.subjectAlgebra of approximable operatorses_ES
dc.titleStrongly zero product determined Banach algebrases_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.1016/j.laa.2021.09.002
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


Ficheros en el ítem

[PDF]

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem

Atribución-NoComercial-SinDerivadas 3.0 España
Excepto si se señala otra cosa, la licencia del ítem se describe como Atribución-NoComercial-SinDerivadas 3.0 España