Coneability of Anti-Fubini Functions and Other Lineability Properties

It is proved that the family of measurable real functions on the product measure space satisfying (or not) the conclusion of Fubini’s Theorem (along with a number of related families) is algebraically large, in the sense that it contains large convex cones or even large vector subspaces (except for...

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Authors: Bernal González, Luis, Calderón Moreno, María del Carmen, Muñoz Fernández, Gustavo Adolfo, Rodríguez Vidanes, Daniel Luis, Seoane Sepúlveda, Juan Benigno
Format: article
Status:Published version
Publication Date:2024
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/178993
Online Access:https://hdl.handle.net/11441/178993
https://doi.org/10.1007/s00025-023-02121-z
Access Level:Open access
Keyword:Coneability
Lineability
Product measure
Fubini’s theorem
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spelling Coneability of Anti-Fubini Functions and Other Lineability PropertiesBernal González, LuisCalderón Moreno, María del CarmenMuñoz Fernández, Gustavo AdolfoRodríguez Vidanes, Daniel LuisSeoane Sepúlveda, Juan BenignoConeabilityLineabilityProduct measureFubini’s theoremIt is proved that the family of measurable real functions on the product measure space satisfying (or not) the conclusion of Fubini’s Theorem (along with a number of related families) is algebraically large, in the sense that it contains large convex cones or even large vector subspaces (except for zero) under rather general assumptions. Several earlier related results are improved, mainly regarding the cardinality of the generator set of the corresponding cones or subspaces.SpringerAnálisis MatemáticoFQM127: Análisis Funcional no Lineal2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/178993https://doi.org/10.1007/s00025-023-02121-zreponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésResults in Mathematics, 79, 92-1.10.1007/s00025-023-02121-zinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/1789932026-06-17T12:51:07Z
dc.title.none.fl_str_mv Coneability of Anti-Fubini Functions and Other Lineability Properties
title Coneability of Anti-Fubini Functions and Other Lineability Properties
spellingShingle Coneability of Anti-Fubini Functions and Other Lineability Properties
Bernal González, Luis
Coneability
Lineability
Product measure
Fubini’s theorem
title_short Coneability of Anti-Fubini Functions and Other Lineability Properties
title_full Coneability of Anti-Fubini Functions and Other Lineability Properties
title_fullStr Coneability of Anti-Fubini Functions and Other Lineability Properties
title_full_unstemmed Coneability of Anti-Fubini Functions and Other Lineability Properties
title_sort Coneability of Anti-Fubini Functions and Other Lineability Properties
dc.creator.none.fl_str_mv Bernal González, Luis
Calderón Moreno, María del Carmen
Muñoz Fernández, Gustavo Adolfo
Rodríguez Vidanes, Daniel Luis
Seoane Sepúlveda, Juan Benigno
author Bernal González, Luis
author_facet Bernal González, Luis
Calderón Moreno, María del Carmen
Muñoz Fernández, Gustavo Adolfo
Rodríguez Vidanes, Daniel Luis
Seoane Sepúlveda, Juan Benigno
author_role author
author2 Calderón Moreno, María del Carmen
Muñoz Fernández, Gustavo Adolfo
Rodríguez Vidanes, Daniel Luis
Seoane Sepúlveda, Juan Benigno
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
dc.subject.none.fl_str_mv Coneability
Lineability
Product measure
Fubini’s theorem
topic Coneability
Lineability
Product measure
Fubini’s theorem
description It is proved that the family of measurable real functions on the product measure space satisfying (or not) the conclusion of Fubini’s Theorem (along with a number of related families) is algebraically large, in the sense that it contains large convex cones or even large vector subspaces (except for zero) under rather general assumptions. Several earlier related results are improved, mainly regarding the cardinality of the generator set of the corresponding cones or subspaces.
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/178993
https://doi.org/10.1007/s00025-023-02121-z
url https://hdl.handle.net/11441/178993
https://doi.org/10.1007/s00025-023-02121-z
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Results in Mathematics, 79, 92-1.
10.1007/s00025-023-02121-z
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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