Anti M-Weierstrass function sequences

Large algebraic structures are found inside the space of sequences of continuous functions on a compact interval having the property that, the series defined by each sequence converges absolutely and uniformly on the interval but the series of the upper bounds diverges. So showing that there exist m...

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Authors: Calderón Moreno, María del Carmen, Gerlach Mena, Pablo José, Prado Bassas, José Antonio
Format: article
Status:Versión aceptada para publicación
Publication Date:2020
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/153642
Online Access:https://hdl.handle.net/11441/153642
https://doi.org/10.1016/j.jmaa.2020.124261
Access Level:Open access
Keyword:series of functions
uniform convergence
divergence
spaceability
algebrability
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oai_identifier_str oai:idus.us.es:11441/153642
network_acronym_str ES
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spelling Anti M-Weierstrass function sequencesCalderón Moreno, María del CarmenGerlach Mena, Pablo JoséPrado Bassas, José Antonioseries of functionsuniform convergencedivergencespaceabilityalgebrabilityLarge algebraic structures are found inside the space of sequences of continuous functions on a compact interval having the property that, the series defined by each sequence converges absolutely and uniformly on the interval but the series of the upper bounds diverges. So showing that there exist many examples satisfying the conclusion but not the hypothesis of the Weierstrass M-test.España, Ministerio de Ciencia e Innovación MICINN Grant PGC2018-098474-B-C2ElsevierAnálisis MatemáticoFQM127: Análisis Funcional no Lineal2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/153642https://doi.org/10.1016/j.jmaa.2020.124261reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Mathematical Analysis and Applications, 491 (1), 124261-1.https://doi.org/10.1016/j.jmaa.2020.124261info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1536422026-06-17T12:51:07Z
dc.title.none.fl_str_mv Anti M-Weierstrass function sequences
title Anti M-Weierstrass function sequences
spellingShingle Anti M-Weierstrass function sequences
Calderón Moreno, María del Carmen
series of functions
uniform convergence
divergence
spaceability
algebrability
title_short Anti M-Weierstrass function sequences
title_full Anti M-Weierstrass function sequences
title_fullStr Anti M-Weierstrass function sequences
title_full_unstemmed Anti M-Weierstrass function sequences
title_sort Anti M-Weierstrass function sequences
dc.creator.none.fl_str_mv Calderón Moreno, María del Carmen
Gerlach Mena, Pablo José
Prado Bassas, José Antonio
author Calderón Moreno, María del Carmen
author_facet Calderón Moreno, María del Carmen
Gerlach Mena, Pablo José
Prado Bassas, José Antonio
author_role author
author2 Gerlach Mena, Pablo José
Prado Bassas, José Antonio
author2_role author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
dc.subject.none.fl_str_mv series of functions
uniform convergence
divergence
spaceability
algebrability
topic series of functions
uniform convergence
divergence
spaceability
algebrability
description Large algebraic structures are found inside the space of sequences of continuous functions on a compact interval having the property that, the series defined by each sequence converges absolutely and uniformly on the interval but the series of the upper bounds diverges. So showing that there exist many examples satisfying the conclusion but not the hypothesis of the Weierstrass M-test.
publishDate 2020
dc.date.none.fl_str_mv 2020
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/11441/153642
https://doi.org/10.1016/j.jmaa.2020.124261
url https://hdl.handle.net/11441/153642
https://doi.org/10.1016/j.jmaa.2020.124261
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications, 491 (1), 124261-1.
https://doi.org/10.1016/j.jmaa.2020.124261
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
_version_ 1869403853588267008
score 15.301603

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