A THEOREM ON SEQUENTIAL CONVERGENCE

U. N. Bassey (Nigeria)

Received April 29, 2008

Abstract

Let be a locally convex algebra with identity, denote the radius of boundedness of an element x in E, and denote the set of all elements such that If E is pseudo-complete, then we prove that every t-convergent sequence of elements is Mackey-convergent.

Keywords and phrases: locally convex algebra, pseudo-completeness, Mackey-convergence.