Regulated functions with values in the Banach algebra of quaternions

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dc.contributor.authorFernandes, L. A.O.
dc.contributor.authorArbach, R.
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2022-04-29T08:44:27Z
dc.date.available2022-04-29T08:44:27Z
dc.date.issued2011-11-14
dc.description.abstractIn this paper we deal with the notion of regulated functions with values in a Banach algebra A, we prove some results and present examples using quaternions. The physical meanning of this kind of functions is introduced and some particular results are presented. We consider then, the Dushnik integral for these functions and we construct a correspondent linear integral functional on the Banach algebra of all regulated functions G([a, b],A).en
dc.description.affiliationFaculty of Engineering of Ilha Solteira State University of Sao Paulo Department of Mathematics, Ilha Solteira SP 15385-000
dc.format.extent196-201
dc.identifier.citationProceedings of the World Congress on Engineering 2011, WCE 2011, v. 1, p. 196-201.
dc.identifier.scopus2-s2.0-80755127026
dc.identifier.urihttp://hdl.handle.net/11449/231273
dc.language.isoeng
dc.relation.ispartofProceedings of the World Congress on Engineering 2011, WCE 2011
dc.sourceScopus
dc.subjectBanach algebras
dc.subjectQuaternions
dc.subjectRegulated function
dc.titleRegulated functions with values in the Banach algebra of quaternionsen
dc.typeTrabalho apresentado em evento

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