Perturbation Method in Orlicz Sequence Spaces
Abstract
We develop a new perturbation method in Orlicz sequence spaces M with Orlicz function M satisfying 2 condition at zero. This result allows one to support from below any bounded below lower semicontinuous function with bounded support, with a perturbation of the defining function σM. We give few examples how the method can be used for determining the type of the smoothness of certain Orlicz spaces.
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