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)

Received: 2014-10-11 Accepted : 2014-12-25 Published : 2014-12-29

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.

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