On the uniformly normal structure of Orlicz spaces with Orlicz norm. (English) Zbl 0802.46049

Wang, Tingfu; Shi, Zhongrui

Commentat. Math. Univ. Carol. 34, No. 3, 433-442 (1993).

Summary: We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.

MSC:

46E30	Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46B20	Geometry and structure of normed linear spaces

Keywords:

Orlicz spaces endowed with Orlicz norm; uniformly normal structure; reflexivity