Lineability, spaceability, and algebrability of certain subsets of function spaces.

We construct infinite-dimensional Banach spaces and infinitely generated Banach algebras of functions that, except for 0, satisfy some kind of special or pathological property. Three of these structures are: a Banach algebra of everywhere continuous bounded functions which are not Riemann-integrable...

ver descrição completa

Detalhes bibliográficos
Autores: García-Pacheco, F.J., Martín Conde, María, Seoane Sepúlveda, Juan Benigno
Formato: artículo
Fecha de publicación:2009
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/50457
Acesso em linha:https://hdl.handle.net/20.500.14352/50457
Access Level:acceso abierto
Palavra-chave:517.98
Riemann integrable
Lebesgue integrable
Continuous unbounded functions
Análisis funcional y teoría de operadores
id ES_14517e4a79cdff9caa36cdae194435b1
oai_identifier_str oai:docta.ucm.es:20.500.14352/50457
network_acronym_str ES
network_name_str España
repository_id_str
spelling Lineability, spaceability, and algebrability of certain subsets of function spaces.García-Pacheco, F.J.Martín Conde, MaríaSeoane Sepúlveda, Juan Benigno517.98Riemann integrableLebesgue integrableContinuous unbounded functionsAnálisis funcional y teoría de operadoresWe construct infinite-dimensional Banach spaces and infinitely generated Banach algebras of functions that, except for 0, satisfy some kind of special or pathological property. Three of these structures are: a Banach algebra of everywhere continuous bounded functions which are not Riemann-integrable; a Banach space of Lebesgue-integrable functions that are not Riemann-integrable; an algebra of continuous unbounded functions defined on an arbitrary non-compact metric space.Mathematical Soc Rep ChinaUniversidad Complutense de Madrid20092009-01-0120092009-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/50457reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/504572026-06-02T12:44:21Z
dc.title.none.fl_str_mv Lineability, spaceability, and algebrability of certain subsets of function spaces.
title Lineability, spaceability, and algebrability of certain subsets of function spaces.
spellingShingle Lineability, spaceability, and algebrability of certain subsets of function spaces.
García-Pacheco, F.J.
517.98
Riemann integrable
Lebesgue integrable
Continuous unbounded functions
Análisis funcional y teoría de operadores
title_short Lineability, spaceability, and algebrability of certain subsets of function spaces.
title_full Lineability, spaceability, and algebrability of certain subsets of function spaces.
title_fullStr Lineability, spaceability, and algebrability of certain subsets of function spaces.
title_full_unstemmed Lineability, spaceability, and algebrability of certain subsets of function spaces.
title_sort Lineability, spaceability, and algebrability of certain subsets of function spaces.
dc.creator.none.fl_str_mv García-Pacheco, F.J.
Martín Conde, María
Seoane Sepúlveda, Juan Benigno
author García-Pacheco, F.J.
author_facet García-Pacheco, F.J.
Martín Conde, María
Seoane Sepúlveda, Juan Benigno
author_role author
author2 Martín Conde, María
Seoane Sepúlveda, Juan Benigno
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.98
Riemann integrable
Lebesgue integrable
Continuous unbounded functions
Análisis funcional y teoría de operadores
topic 517.98
Riemann integrable
Lebesgue integrable
Continuous unbounded functions
Análisis funcional y teoría de operadores
description We construct infinite-dimensional Banach spaces and infinitely generated Banach algebras of functions that, except for 0, satisfy some kind of special or pathological property. Three of these structures are: a Banach algebra of everywhere continuous bounded functions which are not Riemann-integrable; a Banach space of Lebesgue-integrable functions that are not Riemann-integrable; an algebra of continuous unbounded functions defined on an arbitrary non-compact metric space.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01
2009
2009-01-01
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/20.500.14352/50457
url https://hdl.handle.net/20.500.14352/50457
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 Mathematical Soc Rep China
publisher.none.fl_str_mv Mathematical Soc Rep China
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_ 1869403729784995840
score 15,300719

Registos relacionados