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Integral functionals on c*-algebra of vector-valued regulated functions

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dc.contributor.authorFernandes, L. A.O. [UNESP]
dc.contributor.authorArbach, R. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-29T07:13:58Z
dc.date.available2022-04-29T07:13:58Z
dc.date.issued2012-01-01
dc.description.abstractIn this paper we deal with the notion of regulated functions with values in a C*-algebra A and present examples using a special bi-dimensional C*-algebra of triangular matrices. We consider the Dushnik integral for these functions and shows that a convenient choice of the integrator function produces an integral homomorphism on the C*-algebra of all regulated functions G([a, b], A). Finally we construct a family of linear integral functionals on this C*-algebra. © 2012, Duke University Press. All rights reserved.en
dc.description.affiliationDepartment of Mathematics Faculty of Engineering of Ilha Solteira-State University of Sao Paulo-UNESP, Ilha Solteira SP
dc.description.affiliationUnespDepartment of Mathematics Faculty of Engineering of Ilha Solteira-State University of Sao Paulo-UNESP, Ilha Solteira SP
dc.format.extent21-31
dc.identifierhttp://dx.doi.org/10.15352/afa/1399899930
dc.identifier.citationAnnals of Functional Analysis, v. 3, n. 2, p. 21-31, 2012.
dc.identifier.doi10.15352/afa/1399899930
dc.identifier.issn2008-8752
dc.identifier.scopus2-s2.0-84894438430
dc.identifier.urihttp://hdl.handle.net/11449/227583
dc.language.isoeng
dc.relation.ispartofAnnals of Functional Analysis
dc.sourceScopus
dc.subjectC*-algebras
dc.subjectDushnik integral
dc.subjectRegulated function
dc.titleIntegral functionals on c*-algebra of vector-valued regulated functionsen
dc.typeArtigo
dspace.entity.typePublication
unesp.departmentMatemática - FEISpt

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Ilha Solteira - FEIS - Faculdade de Engenharia