On the Existence of Non-Zero Linear Continuous Functionals on Fréchet Spaces
| dc.contributor.advisor | Husain, T. | |
| dc.contributor.author | Ng, Shu-Bun | |
| dc.contributor.department | Mathematics | en_US |
| dc.date.accessioned | 2017-05-29T17:40:20Z | |
| dc.date.available | 2017-05-29T17:40:20Z | |
| dc.date.issued | 1968-04 | |
| dc.description.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> | en_US |
| dc.description.degree | Master of Science (MSc) | en_US |
| dc.description.degreetype | Thesis | en_US |
| dc.identifier.uri | http://hdl.handle.net/11375/21533 | |
| dc.language.iso | en_US | en_US |
| dc.subject | existence, non-zero, linear, continuous, functionals, Fréchet spaces, separation | en_US |
| dc.title | On the Existence of Non-Zero Linear Continuous Functionals on Fréchet Spaces | en_US |
| dc.type | Thesis | en_US |