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Exposed points of Orlicz sequence spaces equipped with \(p\)-Amemiya \((1\leq p\leq \infty)\) norms. (English) Zbl 1506.46018

Summary: Using some new techniques, exposed points of the unit sphere for Orlicz sequence spaces equipped with \(p\)-Amemiya \((1\leq p\leq \infty)\) norms are characterized. The obtained results unify, complete, and widen the characterization of exposed points of Orlicz spaces.

MSC:

46B20 Geometry and structure of normed linear spaces
46B45 Banach sequence spaces
46A80 Modular spaces
Full Text: DOI

References:

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