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

Author
Ameziane, R.

El Amrani, Abdelkhalek

Babahmed, Mohammed

Full text
https://www.revistaproyecciones.cl/article/view/1167
10.4067/S0716-09172011000300008
Abstract
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 (ei )i to such Space. We are also interested with the compatible topologies on E for which the basis(ei )i is equicontinuous, and the weak basis problem. Finally, we give some applications to barrelled Spaces and G—Spaces.
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