Bird, Alistair and Jameson, Graham and Laustsen, Niels (2013) The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space. Journal of Operator Theory. (In Press)
Full text not available from this repository.Abstract
A theorem of Giesy and James states that c0 is finitely representable in James' quasi-reflexive Banach space J2. We extend this theorem to the pth quasi-reflexive James space Jp for each p∈(1,∞). As an application, we obtain a new closed ideal of operators on Jp, namely the closure of the set of operators that factor through the complemented subspace (l∞1⊕l∞2⊕...⊕l∞n⊕...)lp of Jp.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal of Operator Theory |
| Uncontrolled Keywords: | Quasi-reflexive Banach space, ; James space ; finite representability of c0 ; closed operator ideal |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 52191 |
| Deposited By: | ep_importer_pure |
| Deposited On: | 21 Dec 2011 10:26 |
| Refereed?: | Yes |
| Published?: | In Press |
| Last Modified: | 28 Aug 2012 10:09 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/52191 |
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