A crossed product approach to Orlicz spaces
Loading...
Date
Authors
Labuschagne, Louis E.
Journal Title
Journal ISSN
Volume Title
Publisher
London Mathematical Society
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
Description
Keywords
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]