Power concave operators and representation of p-convex and q-concave banach lattices
As a consequence of the analysis of the class of (p, q)-power concave operators, we prove a general representation theorem for p-convex and q-concave Banach lattices as spaces of integrable functions with respect to vector measures. This result culminates a series of representation theorems for Bana...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2017 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/170984 |
| Acesso em linha: | https://hdl.handle.net/11441/170984 https://doi.org/10.7900/jot.2016feb21.2137 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Banach lattices q-concave operators Quasi-Banach function spaces Vector measures d-ring |
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Power concave operators and representation of p-convex and q-concave banach latticesDelgado Garrido, OlvidoSánchez Pérez, Enrique A.Banach latticesq-concave operatorsQuasi-Banach function spacesVector measuresd-ringAs a consequence of the analysis of the class of (p, q)-power concave operators, we prove a general representation theorem for p-convex and q-concave Banach lattices as spaces of integrable functions with respect to vector measures. This result culminates a series of representation theorems for Banach lattices using vector measures that have been obtained in the last twenty years.Theta FoundationMatemática Aplicada I2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/170984https://doi.org/10.7900/jot.2016feb21.2137reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal Of Operator Theory, 77 (2), 261-286.http://www.mathjournals.org/jot/2017-077-002/2017-077-002-002.htmlinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/1709842026-06-17T12:51:07Z |
| dc.title.none.fl_str_mv |
Power concave operators and representation of p-convex and q-concave banach lattices |
| title |
Power concave operators and representation of p-convex and q-concave banach lattices |
| spellingShingle |
Power concave operators and representation of p-convex and q-concave banach lattices Delgado Garrido, Olvido Banach lattices q-concave operators Quasi-Banach function spaces Vector measures d-ring |
| title_short |
Power concave operators and representation of p-convex and q-concave banach lattices |
| title_full |
Power concave operators and representation of p-convex and q-concave banach lattices |
| title_fullStr |
Power concave operators and representation of p-convex and q-concave banach lattices |
| title_full_unstemmed |
Power concave operators and representation of p-convex and q-concave banach lattices |
| title_sort |
Power concave operators and representation of p-convex and q-concave banach lattices |
| dc.creator.none.fl_str_mv |
Delgado Garrido, Olvido Sánchez Pérez, Enrique A. |
| author |
Delgado Garrido, Olvido |
| author_facet |
Delgado Garrido, Olvido Sánchez Pérez, Enrique A. |
| author_role |
author |
| author2 |
Sánchez Pérez, Enrique A. |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Matemática Aplicada I |
| dc.subject.none.fl_str_mv |
Banach lattices q-concave operators Quasi-Banach function spaces Vector measures d-ring |
| topic |
Banach lattices q-concave operators Quasi-Banach function spaces Vector measures d-ring |
| description |
As a consequence of the analysis of the class of (p, q)-power concave operators, we prove a general representation theorem for p-convex and q-concave Banach lattices as spaces of integrable functions with respect to vector measures. This result culminates a series of representation theorems for Banach lattices using vector measures that have been obtained in the last twenty years. |
| publishDate |
2017 |
| dc.date.none.fl_str_mv |
2017 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion |
| format |
article |
| status_str |
acceptedVersion |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/11441/170984 https://doi.org/10.7900/jot.2016feb21.2137 |
| url |
https://hdl.handle.net/11441/170984 https://doi.org/10.7900/jot.2016feb21.2137 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Journal Of Operator Theory, 77 (2), 261-286. http://www.mathjournals.org/jot/2017-077-002/2017-077-002-002.html |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
Theta Foundation |
| publisher.none.fl_str_mv |
Theta Foundation |
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reponame:idUS. Depósito de Investigación de la Universidad de Sevilla instname:Universidad de Sevilla (US) |
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Universidad de Sevilla (US) |
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idUS. Depósito de Investigación de la Universidad de Sevilla |
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idUS. Depósito de Investigación de la Universidad de Sevilla |
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15.811543 |