Volume no :6, Issue no: 2, December (2010)

TOPOLOGIES ON SEQUENCE SPACES IN NON-ARCHIMEDEAN ANALYSIS

Author's: A. El Amrani, R. Ameziane Hassani and M. Babahmed
Pages: [193] - [214]
Received Date: September 17, 2010
Submitted by: Morteza Seddighin

Abstract

In this paper, we deal with polar and solid topologies in separated dual pairs of vector-valued sequence spaces over a non-archimedean valued field K, especially we study the natural topology We give a relation between Schauder basis of and Schauder basis of where are topologies, which we define in the paper. Furthermore, we investigate some properties of the and topologies, is a scalar sequence space over K.

Keywords

locally K-convex topologies, non-archimedean sequence spaces, Schauder basis, separated duality.