On the "three-space problem" for spaces of polynomials.

A property P of locally convex spaces is called a three-space property whenever the following implication holds: if both a closed subspace F and the corresponding quotient E/F of a locally convex space E have P then E has P as well. The authors consider properties P of the form: E has P whenever two...

ver descrição completa

Detalhes bibliográficos
Autores: Martínez Ansemil, José María, Blasco Contreras, Fernando, Ponte Miramontes, María Del Socorro
Formato: artículo
Fecha de publicación:1997
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/58699
Acesso em linha:https://hdl.handle.net/20.500.14352/58699
Access Level:acceso abierto
Palavra-chave:517.98
Three-space problem
Spaces of polynomials
Análisis funcional y teoría de operadores
id ES_7cbfcac6c93d890356eabb53b8522b2e
oai_identifier_str oai:docta.ucm.es:20.500.14352/58699
network_acronym_str ES
network_name_str España
repository_id_str
spelling On the "three-space problem" for spaces of polynomials.Martínez Ansemil, José MaríaBlasco Contreras, FernandoPonte Miramontes, María Del Socorro517.98Three-space problemSpaces of polynomialsAnálisis funcional y teoría de operadoresA property P of locally convex spaces is called a three-space property whenever the following implication holds: if both a closed subspace F and the corresponding quotient E/F of a locally convex space E have P then E has P as well. The authors consider properties P of the form: E has P whenever two "natural'' topologies coincide on the spaces of n-homogeneous polynomials on E. They consider topologies of the uniform convergence on all absolutely convex compact or bounded subsets as well as the strong topology and the Nachbin ported topology. The results obtained are mostly negative and the counterexamples are variations of the known spaces.Università del SalentoUniversidad Complutense de Madrid19971997-01-0119971997-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/58699reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/586992026-06-02T12:44:21Z
dc.title.none.fl_str_mv On the "three-space problem" for spaces of polynomials.
title On the "three-space problem" for spaces of polynomials.
spellingShingle On the "three-space problem" for spaces of polynomials.
Martínez Ansemil, José María
517.98
Three-space problem
Spaces of polynomials
Análisis funcional y teoría de operadores
title_short On the "three-space problem" for spaces of polynomials.
title_full On the "three-space problem" for spaces of polynomials.
title_fullStr On the "three-space problem" for spaces of polynomials.
title_full_unstemmed On the "three-space problem" for spaces of polynomials.
title_sort On the "three-space problem" for spaces of polynomials.
dc.creator.none.fl_str_mv Martínez Ansemil, José María
Blasco Contreras, Fernando
Ponte Miramontes, María Del Socorro
author Martínez Ansemil, José María
author_facet Martínez Ansemil, José María
Blasco Contreras, Fernando
Ponte Miramontes, María Del Socorro
author_role author
author2 Blasco Contreras, Fernando
Ponte Miramontes, María Del Socorro
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.98
Three-space problem
Spaces of polynomials
Análisis funcional y teoría de operadores
topic 517.98
Three-space problem
Spaces of polynomials
Análisis funcional y teoría de operadores
description A property P of locally convex spaces is called a three-space property whenever the following implication holds: if both a closed subspace F and the corresponding quotient E/F of a locally convex space E have P then E has P as well. The authors consider properties P of the form: E has P whenever two "natural'' topologies coincide on the spaces of n-homogeneous polynomials on E. They consider topologies of the uniform convergence on all absolutely convex compact or bounded subsets as well as the strong topology and the Nachbin ported topology. The results obtained are mostly negative and the counterexamples are variations of the known spaces.
publishDate 1997
dc.date.none.fl_str_mv 1997
1997-01-01
1997
1997-01-01
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/20.500.14352/58699
url https://hdl.handle.net/20.500.14352/58699
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 Università del Salento
publisher.none.fl_str_mv Università del Salento
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_ 1869411613109387264
score 15.300724

Registos relacionados