Displaying similar documents to “Orlicz sequence spaces with a unique spreading model.”

A notion of Orlicz spaces for vector valued functions

Gudrun Schappacher (2005)

Applications of Mathematics

Similarity:

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 , and representations of the dual space.