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What is Properties of Orlicz Sequence Spaces about?

The document discusses Orlicz sequence spaces, which are Banach spaces defined using convex functions. The paper proves that every Orlicz sequence space contains a subspace isomorphic to some lp space. It also investigates the question of uniqueness of symmetric bases in Orlicz sequence spaces. Some Orlicz spaces are shown to have a unique symmetric basis, while an example of a reflexive Orlicz space without this property is constructed.

Author

shivani

Language

EN