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Zbl 0779.46029
Hudzik, Henryk; Landes, Thomas
Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm. (English)
[J] Commentat. Math. Univ. Carol. 33, No.4, 615-621 (1992). ISSN 0010-2628

Summary: We extend the result of [{\it H. Hudzik}, {\it A. Kaminska}, {\it J. Musielak}, Math. Z. 197, 291-295 (1988; Zbl 0636.46026)] on the characteristic of convexity of Orlicz spaces to the more general case of Musielak-Orlicz spaces over a nonatomic measure space. Namely, the characteristic of convexity of these spaces is computed whenever the Musielak-Orlicz functions are strictly convex.

MSC 2000:: *46E30 Spaces of measurable functions
46B20 Geometry and structure of normed spaces

Keywords: modulus of convexity; characteristic of convexity; $\Delta\sb 2$- condition; Musielak-Orlicz spaces over a nonatomic measure space

Citations: Zbl 0636.46026

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