Regulated functions with values in the Banach algebra of quaternions

Detalhes bibliográficos
Autor(a) principal: Fernandes, L. A.O.
Data de Publicação: 2011
Outros Autores: Arbach, R.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/231273
Resumo: In 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).
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spelling Regulated functions with values in the Banach algebra of quaternionsBanach algebrasQuaternionsRegulated functionIn 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).Faculty of Engineering of Ilha Solteira State University of Sao Paulo Department of Mathematics, Ilha Solteira SP 15385-000Universidade de São Paulo (USP)Fernandes, L. A.O.Arbach, R.2022-04-29T08:44:27Z2022-04-29T08:44:27Z2011-11-14info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject196-201Proceedings of the World Congress on Engineering 2011, WCE 2011, v. 1, p. 196-201.http://hdl.handle.net/11449/2312732-s2.0-80755127026Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the World Congress on Engineering 2011, WCE 2011info:eu-repo/semantics/openAccess2024-07-10T15:42:07Zoai:repositorio.unesp.br:11449/231273Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:22:39.270030Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Regulated functions with values in the Banach algebra of quaternions
title Regulated functions with values in the Banach algebra of quaternions
spellingShingle Regulated functions with values in the Banach algebra of quaternions
Fernandes, L. A.O.
Banach algebras
Quaternions
Regulated function
title_short Regulated functions with values in the Banach algebra of quaternions
title_full Regulated functions with values in the Banach algebra of quaternions
title_fullStr Regulated functions with values in the Banach algebra of quaternions
title_full_unstemmed Regulated functions with values in the Banach algebra of quaternions
title_sort Regulated functions with values in the Banach algebra of quaternions
author Fernandes, L. A.O.
author_facet Fernandes, L. A.O.
Arbach, R.
author_role author
author2 Arbach, R.
author2_role author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Fernandes, L. A.O.
Arbach, R.
dc.subject.por.fl_str_mv Banach algebras
Quaternions
Regulated function
topic Banach algebras
Quaternions
Regulated function
description In 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).
publishDate 2011
dc.date.none.fl_str_mv 2011-11-14
2022-04-29T08:44:27Z
2022-04-29T08:44:27Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv Proceedings of the World Congress on Engineering 2011, WCE 2011, v. 1, p. 196-201.
http://hdl.handle.net/11449/231273
2-s2.0-80755127026
identifier_str_mv Proceedings of the World Congress on Engineering 2011, WCE 2011, v. 1, p. 196-201.
2-s2.0-80755127026
url http://hdl.handle.net/11449/231273
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the World Congress on Engineering 2011, WCE 2011
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 196-201
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129514014769152

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