| Автор | Ansari-Piri, E. |
| Дата выпуска | 1990 |
| dc.description | The famous Cohen factorization theorem, which says that every Banach algebra with bounded approximate identity factors, has already been generalized to locally convex algebras with what may be termed “uniformly bounded approximate identities”. Here we introduce a new notion, that of fundamentality generalizing both local boundedness and local convexity, and we show that a fundamental Fréchet algebra with uniformly bounded approximate identity factors. Fundamentality is a topological vector space property rather than an algebra property. We exhibit some non-fundamental topological vector space and give a necessary condition for Orlicz space to be fundamental. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Edinburgh Mathematical Society 1990 |
| Название | A class of factorable topological algebras |
| Тип | research-article |
| DOI | 10.1017/S001309150002887X |
| Electronic ISSN | 1464-3839 |
| Print ISSN | 0013-0915 |
| Журнал | Proceedings of the Edinburgh Mathematical Society |
| Том | 33 |
| Первая страница | 53 |
| Последняя страница | 59 |
| Аффилиация | Ansari-Piri E.; Guilan University |
| Выпуск | 1 |
