Geodesic
Criteria for $k_M\infty$ in Musielak-Orlicz spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 259-266.

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In this paper, some necessary and sufficient conditions for $\sup \{k_x:\|x\|^0=1\} \infty $ in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are given.
Classification : 46B20, 46B30, 46B45, 46E30
Keywords: Musielak-Orlicz space; Orlicz norm 
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Cao, Lianying; Wang, Tingfu. Criteria for $k_M<\infty$ in Musielak-Orlicz spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 259-266. http://geodesic.mathdoc.fr/item/CMUC_2001__42_2_a3/