| dc.contributor.author | Labuschagne, Louis E. | |
| dc.date.accessioned | 2016-01-28T09:07:01Z | |
| dc.date.available | 2016-01-28T09:07:01Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Labuschagne, L.E. 2013. A crossed product approach to Orlicz spaces. Proceedings of the London Mathematical Society, 107(5):965-1003. [https://doi.org/10.1112/plms/pdt006] | en_US |
| dc.identifier.issn | 0024-6115 | |
| dc.identifier.issn | 1460-244X (Online) | |
| dc.identifier.uri | http://hdl.handle.net/10394/16080 | |
| dc.identifier.uri | https://doi.org/10.1112/plms/pdt006 | |
| dc.description.abstract | We show how the known theory of non-commutative Orlicz spaces for semifinite von Neumann
algebras equipped with an faithful normal semifinite trace may be recovered using crossed
product techniques. Then using this as a template, we construct analogues of such spaces for type
III algebras. The constructed spaces naturally dovetail with and closely mimic the behaviour of
Haagerup Lp-spaces.We then define a modified K-method of interpolation which seems to better
fit the present context, and give a formal prescription for using this method to define what may
be regarded as type III Riesz–Fischer spaces | en_US |
| dc.description.sponsorship | National Research Foundation | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | London Mathematical Society | en_US |
| dc.title | A crossed product approach to Orlicz spaces | en_US |
| dc.type | Article | en_US |
| dc.contributor.researchID | 22982477 - Labuschagne, Louis Ernst | |
