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P-convexity property in Musielak-Orlicz sequence spaces

  • Autores: Huang Yafeng, Ye Yining
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 44, Fasc. 1-3, 1993, págs. 307-326
  • Idioma: inglés
  • Enlaces
  • Resumen
    • We prove that in the Musielak-Orlicz sequence spaces equipped with the Luxemburg norm, $P$-convexity coincides with reflexivity.

  • Referencias bibliográficas
    • C.A. Kottman, Packing and reflexivity in Banach spaces, Trans. Amer. Math. Soc. 150 (1970), 565–576.
    • K.P.R. Sastry and S.V.R. Naidu, Convexity conditions in normed linear spaces, J. Reine Angew. Math. 297 (1978), 35–53.
    • D. Amir and C. Franchetti, The radius ratio and convexity properties in normed linear spaces, Trans. Amer. Math. Soc. 282 (1984), 275–291.
    • Ye Yining, He Miaohong and R. Pluciennik, $P$-convexity and reflexivity of Orlicz spaces, Comm. Math. XXXI (1991), 203–216.
    • H. Hudzik and A. Kamińska, On uniformly convexifiable and $B$-convex Musielak-Orlicz spaces, Comment. Math. (Prace Mat.) 24 (1985), 59–75.

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