| Автор | Yost, David |
| Дата выпуска | 1984 |
| dc.description | Let E be an ordered Banach space with closed positive cone C. A base for C is a convex subset K of C with the property that every non-zero element of C has a unique representation of the form λk with λ > 0 and k ∈ K. Let S be the absolutely convex hull of K. If the Minkowski functional of S coincides with the given norm on E, then E is called a base norm space. Then K is a closed face of the unit ball of E, and S contains the open unit ball of E. Base norm spaces were first defined by Ellis [5, p. 731], although the special case of dual Banach spaces had been studied earlier by Edwards [4]. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Glasgow Mathematical Journal Trust 1984 |
| Название | A base norm space whose cone is not 1-generating |
| Тип | research-article |
| DOI | 10.1017/S0017089500005395 |
| Electronic ISSN | 1469-509X |
| Print ISSN | 0017-0895 |
| Журнал | Glasgow Mathematical Journal |
| Том | 25 |
| Первая страница | 35 |
| Последняя страница | 36 |
| Аффилиация | Yost David; La Trobe University |
| Выпуск | 1 |
