Schauder basis in a locally K - convex space and perfect sequence spaces

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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Auteurs principaux: Ameziane Hassani,R, El Amrani,A, Babahmed,M
Langue:English
Publié: Universidad Católica del Norte, Departamento de Matemáticas 2011
Sujets:
non archimedean analysis
locally K- convex spaces
Schauder basis
the weak basis theorem
compatible topologies
perfect sequence spaces
K- barrelled spaces and G- spaces
Accès en ligne:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300007
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http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300007

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