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|Title:||On the Existence of Non-Zero Linear Continuous Functionals on Fréchet Spaces|
|Keywords:||existence, non-zero, linear, continuous, functionals, Fréchet spaces, separation|
|Abstract:||<p> This thesis is concerned with a necessary and sufficient condition for the existence of non-zero linear continuous functionals on Fréchet or more general topological vector spaces. The main idea is based on the famous Hahn-Banach theorem. Since the connection between Hahn-Banach theorem and separation theorems is well known, here we study some separation theorems as well.</p>|
|Appears in Collections:||Digitized Open Access Dissertations and Theses|
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|Ng_Shu-Bun_1968Apr_Masters..pdf||1.11 MB||Adobe PDF||View/Open|
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