Type: Article
Publication Date: 1987-04-01
Citations: 9
DOI: https://doi.org/10.2140/pjm.1987.127.233
The purpose of this paper is to demonstrate considerable similarities in the behaviour of compact and O)-nuclear operators.More precisely, we obtain for (s)-nuclear operators results resembling previously known properties of compact operators; sometimes a word for word translation of a "compact theorem" holds for (s)-nudear operators.However, we wish to emphasize that different methods for the proofs are now needed.For example, the often applied Ascoli-Arzela theorem does not have a (s)-nuclear counterpart (see §5).(ί)-NUCLEAR OPERATORS