Closed operator ideals and interpolation |
| |
Authors: | Stefan Heinrich |
| |
Institution: | Zentralinstitut für Mathematik und Mechanik der Akademie der Wissenschaften der DDR, 108 Berlin, German Democratic Republic |
| |
Abstract: | We consider closed operator ideals, which mean operator ideals A whose components A(E, F) are closed subspaces of the space L(E, F). Using interpolation techniques, we obtain general results on products of closed ideals. Furthermore, we investigate which closed ideals A possess the factorization property, i.e., each operator of A factors through a space with the related property “A”. Applications of these results yield the answer to some open questions in ideal theory. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|