| Автор | Jameson, G. J. O. |
| Дата выпуска | 1996 |
| dc.description | The properties p-convexity and q-concavity are fundamental in the study of Banach sequence spaces (see [L-TzII]), and in recent years have been shown to be of great significance in the theory of the corresponding Schatten ideals ([G-TJ], [LP-P] and many other papers). In particular, the notions 2-convex and 2-concave are meaningful in Schatten ideals. It seems to have been noted only recently [LP-P] that a Schatten ideal has either of these properties if the underlying sequence space has. One way of establishing this is to use the fact that if (E, ‖ ‖<sub>E</sub>) is 2-convex, then there is another Banach sequence space (F, ‖ ‖<sub>F</sub>) such that ‖x;‖ = ‖x<sup>2</sup>‖<sub>F</sub> for all x ε E. The 2-concave case can then be deduced using duality, though this raises some difficulties, for example when E is inseparable. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Cambridge Philosophical Society 1996 |
| Название | 2-convexity and 2-concavity in Schatten ideals |
| Тип | research-article |
| DOI | 10.1017/S0305004100001651 |
| Electronic ISSN | 1469-8064 |
| Print ISSN | 0305-0041 |
| Журнал | Mathematical Proceedings of the Cambridge Philosophical Society |
| Том | 120 |
| Первая страница | 697 |
| Последняя страница | 702 |
| Аффилиация | Jameson G. J. O.; Lancaster University |
| Выпуск | 4 |
