G. Schappacher, Institut fur Mathematik, Heinrichstrasse 36, A-8010 Graz, Austria, e-mail: gudrun.schappacher@roche.com
Abstract: The notion of the Orlicz space is generalized to spaces of Banach-space valued functions. A well-known generalization is based on $N$-functions of a real variable. We consider a more general setting based on spaces generated by convex functions defined on a Banach space. We investigate structural properties of these spaces, such as the role of the delta-growth conditions, separability, the closure of $\Cal L^{\infty}$, and representations of the dual space.
Keywords: vector valued function, Orlicz space, Luxemburg norm, delta-growth condition, duality
Classification (MSC 2000): 46E30, 46E40, 46B10
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