TY - JOUR AU - Ameziane, R. AU - El Amrani, Abdelkhalek AU - Babahmed, Mohammed PY - 2011/12/10 Y2 - 2024/03/29 TI - Schauder basis in a locally k-convex space and perfect sequence spaces JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 30 IS - 3 SE - DO - 10.4067/S0716-09172011000300008 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1167 SP - 369-399 AB - <p><span class="font8">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<sub>i </sub>)<sub>i </sub>to such Space. We are also interested with the compatible topologies on E for which the basis(e<sub>i </sub>)<sub>i </sub>is equicontinuous, and the weak basis problem. Finally, we give some applications to barrelled Spaces and G—Spaces.</span></p> ER -