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dc.contributor.authorLabuschagne, Louis E.
dc.identifier.citationLabuschagne, L.E. 2013. A crossed product approach to Orlicz spaces. Proceedings of the London Mathematical Society, 107(5):965-1003. []en_US
dc.identifier.issn1460-244X (Online)
dc.description.abstractWe 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 spacesen_US
dc.description.sponsorshipNational Research Foundationen_US
dc.publisherLondon Mathematical Societyen_US
dc.titleA crossed product approach to Orlicz spacesen_US
dc.contributor.researchID22982477 - Labuschagne, Louis Ernst

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