Polar topologies on sequence spaces in non-archimedean analysis

The purpose of the present paper is to develop a theory of a duality in sequence spaces over a non-archimedean vector space. We introduce polar topologies in such spaces, and we give basic results characterizing compact, C-compact, complete and AK -complete subsets related to these topologies.

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Detalles Bibliográficos
Autores principales:	Ameziane Hassani,R, El Amrani,A, Babahed,M
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2012
Materias:	Locally K-convex topologies non archimedean sequence spaces Schauder basis separated duality
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000200002
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spelling	oai:scielo:S0716-091720120002000022012-07-18Polar topologies on sequence spaces in non-archimedean analysisAmeziane Hassani,REl Amrani,ABabahed,M Locally K-convex topologies non archimedean sequence spaces Schauder basis separated duality The purpose of the present paper is to develop a theory of a duality in sequence spaces over a non-archimedean vector space. We introduce polar topologies in such spaces, and we give basic results characterizing compact, C-compact, complete and AK -complete subsets related to these topologies.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.31 n.2 20122012-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000200002en10.4067/S0716-09172012000200002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Locally K-convex topologies non archimedean sequence spaces Schauder basis separated duality
spellingShingle	Locally K-convex topologies non archimedean sequence spaces Schauder basis separated duality Ameziane Hassani,R El Amrani,A Babahed,M Polar topologies on sequence spaces in non-archimedean analysis
description	The purpose of the present paper is to develop a theory of a duality in sequence spaces over a non-archimedean vector space. We introduce polar topologies in such spaces, and we give basic results characterizing compact, C-compact, complete and AK -complete subsets related to these topologies.
author	Ameziane Hassani,R El Amrani,A Babahed,M
author_facet	Ameziane Hassani,R El Amrani,A Babahed,M
author_sort	Ameziane Hassani,R
title	Polar topologies on sequence spaces in non-archimedean analysis
title_short	Polar topologies on sequence spaces in non-archimedean analysis
title_full	Polar topologies on sequence spaces in non-archimedean analysis
title_fullStr	Polar topologies on sequence spaces in non-archimedean analysis
title_full_unstemmed	Polar topologies on sequence spaces in non-archimedean analysis
title_sort	polar topologies on sequence spaces in non-archimedean analysis
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2012
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000200002
work_keys_str_mv	AT amezianehassanir polartopologiesonsequencespacesinnonarchimedeananalysis AT elamrania polartopologiesonsequencespacesinnonarchimedeananalysis AT babahedm polartopologiesonsequencespacesinnonarchimedeananalysis
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Polar topologies on sequence spaces in non-archimedean analysis

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