Nearly smooth points and near smoothness in Orlicz spaces

Ji Donghai; Yanming Lü; Ting Fu Wang

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Displaying similar documents to “Nearly smooth points and near smoothness in Orlicz spaces”

Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm

Henryk Hudzik, L. Wang, Ting Fu Wang (2001)

Commentationes Mathematicae Universitatis Carolinae

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First, we extend the criteria for smooth points of $S (L_{M})$ from [22] to the whole class of Musielak-Orlicz spaces. Next, we present criteria for very smooth and strongly smooth points of $S (L_{M})$ .

Erratum to the paper "Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm" (Colloq. Math. 65 (1993), 157-164)

Henryk Hudzik, Zenon Zbąszyniak (1993)

Colloquium Mathematicae

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On uniformly nonsquare points and nonsquare points of Orlicz spaces

Ting Fu Wang, Zhong Rui Shi, Yanhong Li (1992)

Commentationes Mathematicae Universitatis Carolinae

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For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.

Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm

Zenon Zbąszyniak (1994)

Commentationes Mathematicae Universitatis Carolinae

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There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness. Next, as a corollary, a criterion of smoothness of these spaces is given.