Schauder basis in a locally K - convex space and perfect sequence spaces
In this work, we are dealing with the natural topology in a perfect sequence space and the transfert of topologies of a locally K - convex space E with a Schauder basis (e i)i to such Space. We are also interested with the compatible topologies on E for which the basis(e i)i is equicontinuous, and t...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2011
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oai:scielo:S0716-091720110003000072012-06-18Schauder basis in a locally K - convex space and perfect sequence spacesAmeziane Hassani,REl Amrani,ABabahmed,M non archimedean analysis locally K- convex spaces Schauder basis the weak basis theorem compatible topologies perfect sequence spaces K- barrelled spaces and G- spaces In this work, we are dealing with the natural topology in a perfect sequence space and the transfert of topologies of a locally K - convex space E with a Schauder basis (e i)i to such Space. We are also interested with the compatible topologies on E for which the basis(e i)i is equicontinuous, and the weak basis problem. Finally, we give some applications to barrelled Spaces and G-Spaces.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.30 n.3 20112011-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300007en10.4067/S0716-09172011000300007 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
non archimedean analysis locally K- convex spaces Schauder basis the weak basis theorem compatible topologies perfect sequence spaces K- barrelled spaces and G- spaces |
| spellingShingle |
non archimedean analysis locally K- convex spaces Schauder basis the weak basis theorem compatible topologies perfect sequence spaces K- barrelled spaces and G- spaces Ameziane Hassani,R El Amrani,A Babahmed,M Schauder basis in a locally K - convex space and perfect sequence spaces |
| description |
In this work, we are dealing with the natural topology in a perfect sequence space and the transfert of topologies of a locally K - convex space E with a Schauder basis (e i)i to such Space. We are also interested with the compatible topologies on E for which the basis(e i)i is equicontinuous, and the weak basis problem. Finally, we give some applications to barrelled Spaces and G-Spaces. |
| author |
Ameziane Hassani,R El Amrani,A Babahmed,M |
| author_facet |
Ameziane Hassani,R El Amrani,A Babahmed,M |
| author_sort |
Ameziane Hassani,R |
| title |
Schauder basis in a locally K - convex space and perfect sequence spaces |
| title_short |
Schauder basis in a locally K - convex space and perfect sequence spaces |
| title_full |
Schauder basis in a locally K - convex space and perfect sequence spaces |
| title_fullStr |
Schauder basis in a locally K - convex space and perfect sequence spaces |
| title_full_unstemmed |
Schauder basis in a locally K - convex space and perfect sequence spaces |
| title_sort |
schauder basis in a locally k - convex space and perfect sequence spaces |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2011 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300007 |
| work_keys_str_mv |
AT amezianehassanir schauderbasisinalocallykconvexspaceandperfectsequencespaces AT elamrania schauderbasisinalocallykconvexspaceandperfectsequencespaces AT babahmedm schauderbasisinalocallykconvexspaceandperfectsequencespaces |
| _version_ |
1718439779314434048 |