ArticleOriginal scientific text

Title

Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm

Authors 1, 2

Affiliations

  1. Institute of Mathematics, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland
  2. Institute of Mathematics, Technical University of Poznań, Piotrowo 3a, 60-965 Poznań, Poland

Keywords

smooth point, Musielak-Orlicz function, Musielak-Orlicz space, support functional

Bibliography

  1. T. Ando, Linear functionals on Orlicz spaces, Nieuw Arch. Wisk. 3 (8) (1960), 1-16.
  2. J. Diestel, Geometry of Banach Spaces--Selected Topics, Lecture Notes in Math. 481, Springer, 1975.
  3. R. Grząślewicz and H. Hudzik, Smooth points of Orlicz spaces equipped with the Luxemburg norm, Math. Nachr. 155 (1991), 31-45.
  4. H. Hudzik and Y. Ye, Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm, Comment. Math. Univ. Carolinae 31 (4) (1990), 661-684.
  5. M. A. Krasnoselskiĭ and Ya. B. Rutickiĭ, Convex Functions and Orlicz Spaces, Noordhoff, Groningen 1961 (translated from Russian).
  6. W. A. J. Luxemburg, Banach function spaces, thesis, Delft 1955.
  7. J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Math. 1034, Springer, 1983.
  8. R. Phelps, Convex Functions, Monotone Operators and Differentiability, Lecture Notes in Math. 1364, Springer, 1989.
  9. R. Płuciennik and Y. Ye, Differentiability of Musielak-Orlicz sequence spaces, Comment. Math. Univ. Carolinae 30 (1989), 699-711.
  10. M. M. Rao and Z. D. Ren, Theory of Orlicz Spaces, Dekker, New York 1991.
Pages:
157-164
Main language of publication
English
Received
1992-05-05
Published
1993
Exact and natural sciences