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Local uniform rotundity in Musielak-Orlicz sequence space equipped with the Luxemburg norm

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In this paper, we present criteria for local uniform rotundity and weak local uniform rotundity in Musielak-Orlicz sequence spaces equipped with the Luxemburg norm.
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Bibliografia
  • [1] S. Chen, Geometry of Orlicz spaces, Dissertationes Math. 356 (1996).
  • [2] Y. A. Cui and H. Hudzik, Maluta coefficient and Opial property in Musielak-Orlicz sequence spaces equipped with the Luxemburg norm, to appear in Nonlinear Anal. Theory Method &Appl.
  • [3] M. Denker and H. Hudzik, Uniformly non_l(1) n Musielak-Orlicz sequence spaces, Proc. Indian. Acad. Sci. 101 (2) (1991), 71-86.
  • [4] J. Diestel, Sequence and Series in Banach Spaces, Graduate texts in mathematics 92, Springer- Verlag 1984.
  • [5] P. R. Dowling, C. J. Lennard and B. Turett, Reflexivity and the fixed-point property for nonexpansive maps, J. Math. Anal. Appl., 200 (1996), 653-662.
  • [6] D. Dulst and B. Sims, Fixed points of nonexpansive mappings and Chebyshev centers in Banach spaces with norms of type (KK), Banach space theory and its applications (Bucharest, 1981), Lecture Notes in Math. 991, Springer-Verlag 1983.
  • [7] K. Goebel and T. Sękowski, The modulus of non-compact convexity, Ann. Univ. Maria Curie-Skłodowska, Sect. A, 38 (1984), 41-48.
  • [8] R. Goebel and W. A. Kirk, Topics in Metric Fixed Point Theory, Cambridge University Press, 1990.
  • [9] H. Hudzik, C. X. Wu and Y. Ye, Packing Canstant in Musielak-Orlicz Space equipped with the Luxemburg Norm, Revista Math. 21(1994), 13-26.
  • [10] H. Hudzik and A. Kaminska, Some remarks on convergence in Orlicz spaces, Comment. Math. 21 (1979), 81-88.
  • [11] H. Hudzik and Y. Ye, Support functionals and smoothness in Musielak-Orlicz sequence spaces equipped with the Luxemburg norm, Comment. Math. Univ. Carolinae 31) (4 (1990), 661-684.
  • [12] R. Huff, Banach Spaces which are nearly uniformly convex, Rocky Mountain J. Math., 10 (1980), 473-749.
  • [13] M. I. Kadec, Relations between some properties of convexity of the ball of a Banach spaces, Funct. Anal. and Appl., 16 (1982), 93-100.
  • [14] A. Kaminska, Uniform rotundity of Musielak-Orlicz sequence spaces, J. Approx. Theory 47 (4) (1986), 302-322.
  • [15] A. Kaminska, The criteria for local uniform rotundity of Orlicz spaces, Studia Math. 74 (1984), 201-215.
  • [16] A. Kaminska, On some convexity properties of Musielak-Orlicz spaces, Suppl. Rend. Circ. Mat. Palermo 2 (1984), 589-594.
  • [17] A. Kaminska, Rotundity of sequence Musielak-Orlicz spaces, Bull. Polish Acad. Sci. Math. 29 (1981), 137-144.
  • [18] A. Kaminska, Flat Orlicz-Musielak Sequence Spaces, Bull. Polish Acad. Sci, Math., 30 (1982), 347-352.
  • [19] L. V. Kantorovich and G. P. Akilov, Functional Analysis, Nauka, Moscow, 1978 (in Russian). J.M. Wang, X.B. Liu, Y.A. Cui 139
  • [20] J. Musielak, Orlicz spaces and modular spaces, Lecture Notes in Math. 1034, Springer-Verlag 1983.
  • [21] R. Pluciennik, T.Wang and Y. Zhang, H-points and denting points in Orlicz spaces, Comment. Math. 33 (1993), 135-151.
  • [22] M. M. Rao and Z. D. Ren, Theory of Orlicz spaces, Marcel Dekker Inc. New York, Basel, Hong Kong 1991.
  • [23] C. X. Wu and H. Y. Sun, Norm calculations and complex rotundity of Musielak-Orlicz sequence spaces, Chinese Math. Ann. 12A (Special Issue), 98-102.
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Bibliografia
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bwmeta1.element.baztech-article-BUS5-0004-0022
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