Topological number for locally convex topological spaces with continuous semi-norms
Subject Areas : Functional analysis
M. Rahimi
1
(I. A. U. Aligudarz Branch, Department of Mathematics, Aligudarz, Iran)
S. M. Vaezpour
2
(Dept. of Math., Amirkabir University of Technology, Hafez Ave, Tehran, Iran)
Keywords: Locally convex space, Minkowski functional, Topological number,
Abstract :
In this paper we introduce the concept of topological number for locally convextopological spaces and prove some of its properties. It gives some criterions to study locallyconvex topological spaces in a discrete approach.