Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/21533
Title: | On the Existence of Non-Zero Linear Continuous Functionals on Fréchet Spaces |
Authors: | Ng, Shu-Bun |
Advisor: | Husain, T. |
Department: | Mathematics |
Keywords: | existence, non-zero, linear, continuous, functionals, Fréchet spaces, separation |
Publication Date: | Apr-1968 |
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> |
URI: | http://hdl.handle.net/11375/21533 |
Appears in Collections: | Digitized Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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Ng_Shu-Bun_1968Apr_Masters..pdf | 1.11 MB | Adobe PDF | View/Open |
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