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 | |
|---|---|---|---|---|
| Ng_Shu-Bun_1968Apr_Masters..pdf | 1.11 MB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.
