A Study on Compact Operators in Locally K -Convex Spaces

Karla Zayood

Online Islamic University, Department Of Science and Information Technology, Doha, Qatar

Abstract

In this paper we give an equivalent definition of continuous and compact linear operators by using orthogonal bases in non-archimedean locally K - convex spaces. We also show that if E is a space and F is a semi-Montel space, then every continuous linear operator T:E→F is compact.

Keywords: Operator; Convex space; Compact set