Non-Linear Sets in Real Analysisand Algebraic Genericity

The title of this dissertation encompasses the study of two disparate topics that have been worked on. All the results that have been obtained in this dissertation, as the fruit of three years of tedious work, are related to the following fields within Mathematical Analysis: • Algebraic genericity a...

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Detalles Bibliográficos
Autor: Martínez Gómez, María Elena
Tipo de recurso: tesis doctoral
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/3547
Acceso en línea:https://hdl.handle.net/20.500.14352/3547
Access Level:acceso abierto
Palabra clave:512(043.2)
Álgebra
1201 Álgebra
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spelling Non-Linear Sets in Real Analysisand Algebraic Genericity(Conjuntos no Lineales en Análisis Real y Genericidad Algebraica)Martínez Gómez, María Elena512(043.2)ÁlgebraÁlgebra1201 ÁlgebraThe title of this dissertation encompasses the study of two disparate topics that have been worked on. All the results that have been obtained in this dissertation, as the fruit of three years of tedious work, are related to the following fields within Mathematical Analysis: • Algebraic genericity and lineability: This is the study of the algebraic structure within certain sets in a linear space or an algebra. In this sense, we study lineability and algebrability problems of sequences spaces and series. Just as, for the class of real singular functions on the unit interval. This topich as shown to be extremely fruitful in the last decade and this resulted in the American Mathematical Society introducing references 15A03 : Vector spaces, linear dependence, rank, lineability.46B87 : Lineability in functional analysis.in its latest Mathematical Subject Classification 2020...Universidad Complutense de MadridJiménez Rodríguez, PabloMuñoz Fernández, Gustavo AdolfoSeoane Sepúlveda, Juan BenignoUniversidad Complutense de Madrid20222022-03-2820222022-03-28doctoral thesishttp://purl.org/coar/resource_type/c_db06info:eu-repo/semantics/doctoralThesisapplication/pdfhttps://hdl.handle.net/20.500.14352/3547reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/35472026-06-02T12:44:21Z
dc.title.none.fl_str_mv Non-Linear Sets in Real Analysisand Algebraic Genericity
(Conjuntos no Lineales en Análisis Real y Genericidad Algebraica)
title Non-Linear Sets in Real Analysisand Algebraic Genericity
spellingShingle Non-Linear Sets in Real Analysisand Algebraic Genericity
Martínez Gómez, María Elena
512(043.2)
Álgebra
Álgebra
1201 Álgebra
title_short Non-Linear Sets in Real Analysisand Algebraic Genericity
title_full Non-Linear Sets in Real Analysisand Algebraic Genericity
title_fullStr Non-Linear Sets in Real Analysisand Algebraic Genericity
title_full_unstemmed Non-Linear Sets in Real Analysisand Algebraic Genericity
title_sort Non-Linear Sets in Real Analysisand Algebraic Genericity
dc.creator.none.fl_str_mv Martínez Gómez, María Elena
author Martínez Gómez, María Elena
author_facet Martínez Gómez, María Elena
author_role author
dc.contributor.none.fl_str_mv Jiménez Rodríguez, Pablo
Muñoz Fernández, Gustavo Adolfo
Seoane Sepúlveda, Juan Benigno
Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512(043.2)
Álgebra
Álgebra
1201 Álgebra
topic 512(043.2)
Álgebra
Álgebra
1201 Álgebra
description The title of this dissertation encompasses the study of two disparate topics that have been worked on. All the results that have been obtained in this dissertation, as the fruit of three years of tedious work, are related to the following fields within Mathematical Analysis: • Algebraic genericity and lineability: This is the study of the algebraic structure within certain sets in a linear space or an algebra. In this sense, we study lineability and algebrability problems of sequences spaces and series. Just as, for the class of real singular functions on the unit interval. This topich as shown to be extremely fruitful in the last decade and this resulted in the American Mathematical Society introducing references 15A03 : Vector spaces, linear dependence, rank, lineability.46B87 : Lineability in functional analysis.in its latest Mathematical Subject Classification 2020...
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-03-28
2022
2022-03-28
dc.type.none.fl_str_mv doctoral thesis
http://purl.org/coar/resource_type/c_db06
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format doctoralThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/3547
url https://hdl.handle.net/20.500.14352/3547
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
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dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad Complutense de Madrid
publisher.none.fl_str_mv Universidad Complutense de Madrid
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
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