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

• Ameziane, R. ^[1] ; El Amrani, Abdelkhalek ^[1] ; Babahmed, Mohammed ^[2]
  1. [1] Sidi Mohamed Ben Abdellah University

     Sidi Mohamed Ben Abdellah University

     Fes-Medina, Marruecos

     
  2. [2] Université Moulay Ismaïl.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 30, Nº. 3, 2011, págs. 369-399
• Idioma: inglés
• DOI: 10.4067/S0716-09172011000300008
• Enlaces
  • Texto completo
• Resumen

  • 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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