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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| Autores principales: | , , |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2011
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300007 |
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| Sumario: | 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. |
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