Displaying similar documents to “Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm”

Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.

Henryk Hudzik, Zenon Zbaszyniak (1997)

Collectanea Mathematica

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A formula for the distance of an arbitrary element x in Musielak-Orlicz space L^Phi from the subspace E^Phi of order continuous elements is given for both (the Luxemburg and the Orlicz) norms. A formula for the norm in the dual space of L^Phi is given for any of these two norms. Criteria for smooth points and smoothness in L^Phi and E^Phi equipped with the Orlicz norm are presented.

On the WM points of Orlicz function spaces endowed with Orlicz norm.

Tingfu. Wang, Zongrui Shi, Cuixia Hao (1996)

Collectanea Mathematica

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In this paper, we introduce the concept of WM point and obtain the criterion of WM points for Orlicz function spaces endowed with Orlicz norm and the criterion of WM property for Orlicz space.