Name
Abstract | ||
|---|---|---|
In this article, we deal with dual spaces and the Hahn-Banach Theorem. At the first, we defined dual spaces of real linear spaces and proved related basic properties. Next, we defined dual spaces of real normed spaces. We formed the definitions based on dual spaces of real linear spaces. In addition, we proved properties of the norm about elements of dual spaces. For the proof we referred to descriptions in the article [21]. Finally, applying theorems of the second section, we proved the Hahn-Banach extension theorem in real normed spaces. We have used extensively used [17]. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.2478/forma-2014-0007 | FORMALIZED MATHEMATICS |
Keywords | Field | DocType |
dual space, Hahn-Banach extension | Fréchet space,Discrete mathematics,Open mapping theorem (functional analysis),Reflexive space,Birnbaum–Orlicz space,Dual pair,Interpolation space,Mathematical analysis,Lp space,Topological tensor product,Mathematics | Journal |
Volume | Issue | ISSN |
22 | 1 | 1898-9934 |
Citations | PageRank | References |
5 | 1.68 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Keiko Narita | 1 | 49 | 16.59 |
| Noboru Endou | 2 | 72 | 28.00 |
| Yasunari Shidama | 3 | 166 | 72.47 |