On a-Topological Vector Spaces anda-irresolute gauges

The aim of this paper is to provide a characterization of α-irresolute maps that were introduced in [1]. If p is the gauge of an absolutely convex and absorbent subset U of an α-topological vector space, then p is shown to be α-irresolute if and only if U is an α-neighborhood of 0.

Autores:
Al-Hawary, Talal
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/68369
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/68369
http://bdigital.unal.edu.co/69402/
Palabra clave:
51 Matemáticas / Mathematics
a-open set
pseudonorm
locally convex a-topological vector space
a-conjunto abierto
pseudonorma
a-espacio vectorial topológico localmente convexo
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Al-Hawary, Talal82a9783d-d675-438e-84bf-e11c8cc018c93002019-07-03T06:35:18Z2019-07-03T06:35:18Z2017-07-01ISSN: 2357-6529https://repositorio.unal.edu.co/handle/unal/68369http://bdigital.unal.edu.co/69402/The aim of this paper is to provide a characterization of α-irresolute maps that were introduced in [1]. If p is the gauge of an absolutely convex and absorbent subset U of an α-topological vector space, then p is shown to be α-irresolute if and only if U is an α-neighborhood of 0.El objetivo de este artículo es proporcionar una caracterización de funciones α-irresolutas que fueron introducidas en [1]. Si p es el calibre de un subconjunto U de un espacio vectorial topológico que es absorvente y absolutamente convexo, entonces se demuestra que p es α-irresoluto si y solo si U es una α-vecindad de 0.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticashttps://revistas.unal.edu.co/index.php/bolma/article/view/70884Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasAl-Hawary, Talal (2017) On a-Topological Vector Spaces anda-irresolute gauges. Boletín de Matemáticas, 24 (2). pp. 149-154. ISSN 2357-652951 Matemáticas / Mathematicsa-open setpseudonormlocally convex a-topological vector spacea-conjunto abiertopseudonormaa-espacio vectorial topológico localmente convexoOn a-Topological Vector Spaces anda-irresolute gaugesArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL70884-374932-1-SM.pdfapplication/pdf273743https://repositorio.unal.edu.co/bitstream/unal/68369/1/70884-374932-1-SM.pdf966c0b2c27bfa505d305ad5beabd6aa1MD51THUMBNAIL70884-374932-1-SM.pdf.jpg70884-374932-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5845https://repositorio.unal.edu.co/bitstream/unal/68369/2/70884-374932-1-SM.pdf.jpgb1a5c24bbdc105691617c38725caaf0aMD52unal/68369oai:repositorio.unal.edu.co:unal/683692024-05-26 23:10:14.44Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On a-Topological Vector Spaces anda-irresolute gauges
title On a-Topological Vector Spaces anda-irresolute gauges
spellingShingle On a-Topological Vector Spaces anda-irresolute gauges
51 Matemáticas / Mathematics
a-open set
pseudonorm
locally convex a-topological vector space
a-conjunto abierto
pseudonorma
a-espacio vectorial topológico localmente convexo
title_short On a-Topological Vector Spaces anda-irresolute gauges
title_full On a-Topological Vector Spaces anda-irresolute gauges
title_fullStr On a-Topological Vector Spaces anda-irresolute gauges
title_full_unstemmed On a-Topological Vector Spaces anda-irresolute gauges
title_sort On a-Topological Vector Spaces anda-irresolute gauges
dc.creator.fl_str_mv Al-Hawary, Talal
dc.contributor.author.spa.fl_str_mv Al-Hawary, Talal
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
a-open set
pseudonorm
locally convex a-topological vector space
a-conjunto abierto
pseudonorma
a-espacio vectorial topológico localmente convexo
dc.subject.proposal.spa.fl_str_mv a-open set
pseudonorm
locally convex a-topological vector space
a-conjunto abierto
pseudonorma
a-espacio vectorial topológico localmente convexo
description The aim of this paper is to provide a characterization of α-irresolute maps that were introduced in [1]. If p is the gauge of an absolutely convex and absorbent subset U of an α-topological vector space, then p is shown to be α-irresolute if and only if U is an α-neighborhood of 0.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T06:35:18Z
dc.date.available.spa.fl_str_mv 2019-07-03T06:35:18Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2357-6529
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/68369
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/69402/
identifier_str_mv ISSN: 2357-6529
url https://repositorio.unal.edu.co/handle/unal/68369
http://bdigital.unal.edu.co/69402/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/bolma/article/view/70884
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.references.spa.fl_str_mv Al-Hawary, Talal (2017) On a-Topological Vector Spaces anda-irresolute gauges. Boletín de Matemáticas, 24 (2). pp. 149-154. ISSN 2357-6529
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/68369/1/70884-374932-1-SM.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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