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Some Structure Theorems for the Space of All Continuous Linear Maps
Kim,Jong-Chul,Choi,Eui-Won,Bae,Han-Woo 嶺南大學校府設 基礎科學硏究所 1983 基礎科學硏究 Vol.3 No.-
We shall prove, in this note, that β*(F', F)-bounded subsets of all continuous linear maps from a infrabarrelled locally convex space F into a normed space E are equicontinuous. In addition, we shall show that on every equicontinuous subset of F´the topology induced by λ*(F',F) coincides with the topology induced by σ*(F',F).