The symmetric tensor product of a direct sum of locally convex spaces

An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology tau such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for circle times(tau,delta)(n)(F-1 circle plus F-2) gives a direct p...

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Detalhes bibliográficos
Autores: Martínez Ansemil, José María, Floret, Klaus
Formato: artículo
Fecha de publicación:1988
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/57618
Acesso em linha:https://hdl.handle.net/20.500.14352/57618
Access Level:acceso abierto
Palavra-chave:515.1
Symmetric tensor products
Continuous n-homogeneous polynomials
Tensor topologies
Topología
1210 Topología
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repository_id_str
spelling The symmetric tensor product of a direct sum of locally convex spacesMartínez Ansemil, José MaríaFloret, Klaus515.1Symmetric tensor productsContinuous n-homogeneous polynomialsTensor topologiesTopología1210 TopologíaAn explicit representation of the n-fold symmetric tensor product (equipped with a natural topology tau such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for circle times(tau,delta)(n)(F-1 circle plus F-2) gives a direct proof of a recent result of Diaz and Dineen land generalizes it to other topologies tau) that the n-fold projective symmetric and the n-fold projective "full" tensor product of a Iocally convex space fare isomorphic if E is isomorphic to its square E-2.Polish Acad Sciencies Inst MathematicsUniversidad Complutense de Madrid19881988-01-0119881988-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/57618reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/576182026-06-02T12:44:21Z
dc.title.none.fl_str_mv The symmetric tensor product of a direct sum of locally convex spaces
title The symmetric tensor product of a direct sum of locally convex spaces
spellingShingle The symmetric tensor product of a direct sum of locally convex spaces
Martínez Ansemil, José María
515.1
Symmetric tensor products
Continuous n-homogeneous polynomials
Tensor topologies
Topología
1210 Topología
title_short The symmetric tensor product of a direct sum of locally convex spaces
title_full The symmetric tensor product of a direct sum of locally convex spaces
title_fullStr The symmetric tensor product of a direct sum of locally convex spaces
title_full_unstemmed The symmetric tensor product of a direct sum of locally convex spaces
title_sort The symmetric tensor product of a direct sum of locally convex spaces
dc.creator.none.fl_str_mv Martínez Ansemil, José María
Floret, Klaus
author Martínez Ansemil, José María
author_facet Martínez Ansemil, José María
Floret, Klaus
author_role author
author2 Floret, Klaus
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 515.1
Symmetric tensor products
Continuous n-homogeneous polynomials
Tensor topologies
Topología
1210 Topología
topic 515.1
Symmetric tensor products
Continuous n-homogeneous polynomials
Tensor topologies
Topología
1210 Topología
description An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology tau such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for circle times(tau,delta)(n)(F-1 circle plus F-2) gives a direct proof of a recent result of Diaz and Dineen land generalizes it to other topologies tau) that the n-fold projective symmetric and the n-fold projective "full" tensor product of a Iocally convex space fare isomorphic if E is isomorphic to its square E-2.
publishDate 1988
dc.date.none.fl_str_mv 1988
1988-01-01
1988
1988-01-01
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/20.500.14352/57618
url https://hdl.handle.net/20.500.14352/57618
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 Polish Acad Sciencies Inst Mathematics
publisher.none.fl_str_mv Polish Acad Sciencies Inst Mathematics
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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score 15,300724

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