Orthogonally additive polynomials on C*-Algebras

We show that for every orthogonally additive scalar n-homogeneous polynomial P on a C*-algebra A there exists phi in A* satisfying P(x) = phi(x(n)), for each element x in A. The vector-valued analogue follows as a corollary.

Detalles Bibliográficos
Autores: Villanueva Díez, Ignacio, Palazuelos Cabezón, Carlos, Peralta Pereira, Antonio Miguel
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49455
Acceso en línea:https://hdl.handle.net/20.500.14352/49455
Access Level:acceso abierto
Palabra clave:517
Functionals
Representation
Theorem
Spaces
Análisis matemático
1202 Análisis y Análisis Funcional
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oai_identifier_str oai:docta.ucm.es:20.500.14352/49455
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network_name_str España
repository_id_str
spelling Orthogonally additive polynomials on C*-AlgebrasVillanueva Díez, IgnacioPalazuelos Cabezón, CarlosPeralta Pereira, Antonio Miguel517FunctionalsRepresentationTheoremSpacesAnálisis matemático1202 Análisis y Análisis FuncionalWe show that for every orthogonally additive scalar n-homogeneous polynomial P on a C*-algebra A there exists phi in A* satisfying P(x) = phi(x(n)), for each element x in A. The vector-valued analogue follows as a corollary.Oxford University PressUniversidad Complutense de Madrid20082008-09-0120082008-09-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49455reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/494552026-06-02T12:44:21Z
dc.title.none.fl_str_mv Orthogonally additive polynomials on C*-Algebras
title Orthogonally additive polynomials on C*-Algebras
spellingShingle Orthogonally additive polynomials on C*-Algebras
Villanueva Díez, Ignacio
517
Functionals
Representation
Theorem
Spaces
Análisis matemático
1202 Análisis y Análisis Funcional
title_short Orthogonally additive polynomials on C*-Algebras
title_full Orthogonally additive polynomials on C*-Algebras
title_fullStr Orthogonally additive polynomials on C*-Algebras
title_full_unstemmed Orthogonally additive polynomials on C*-Algebras
title_sort Orthogonally additive polynomials on C*-Algebras
dc.creator.none.fl_str_mv Villanueva Díez, Ignacio
Palazuelos Cabezón, Carlos
Peralta Pereira, Antonio Miguel
author Villanueva Díez, Ignacio
author_facet Villanueva Díez, Ignacio
Palazuelos Cabezón, Carlos
Peralta Pereira, Antonio Miguel
author_role author
author2 Palazuelos Cabezón, Carlos
Peralta Pereira, Antonio Miguel
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517
Functionals
Representation
Theorem
Spaces
Análisis matemático
1202 Análisis y Análisis Funcional
topic 517
Functionals
Representation
Theorem
Spaces
Análisis matemático
1202 Análisis y Análisis Funcional
description We show that for every orthogonally additive scalar n-homogeneous polynomial P on a C*-algebra A there exists phi in A* satisfying P(x) = phi(x(n)), for each element x in A. The vector-valued analogue follows as a corollary.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-09-01
2008
2008-09-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/49455
url https://hdl.handle.net/20.500.14352/49455
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Oxford University Press
publisher.none.fl_str_mv Oxford University Press
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869425711069003776
score 15,300719

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